538776 has 48 divisors (see below), whose sum is σ = 1669200. Its totient is φ = 153792.

The previous prime is 538771. The next prime is 538777. The reversal of 538776 is 677835.

538776 = T₃₆₃ + T₃₆₄ + ... + T₃₇₀.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 538776.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 538776.

It is not an unprimeable number, because it can be changed into a prime (538771) by changing a digit.

538776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (34775).

2⁵³⁸⁷⁷⁶ is an apocalyptic number.

538776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834600).

538776 is an abundant number, since it is smaller than the sum of its proper divisors (1130424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

538776 is a wasteful number, since it uses less digits than its factorization.

538776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1081 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 538776 is about 734.0136238518. The cubic root of 538776 is about 81.3709551530.

Adding to 538776 its product of digits (35280), we get a triangular number (574056 = T₁₀₇₁).

It can be divided in two parts, 5 and 38776, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 538776 in words is "five hundred thirty-eight thousand, seven hundred seventy-six".