538683120 has 120 divisors (see below), whose sum is σ = 1871532000. Its totient is φ = 138690048.

The previous prime is 538683077. The next prime is 538683139. The reversal of 538683120 is 21386835.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7981 + ... + 33779.

It is an arithmetic number, because the mean of its divisors is an integer number (15596100).

Almost surely, 2^538683120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538683120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935766000).

538683120 is an abundant number, since it is smaller than the sum of its proper divisors (1332848880).

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

538683120 is a wasteful number, since it uses less digits than its factorization.

538683120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25847 (or 25838 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 538683120 is about 23209.5480352376. The cubic root of 538683120 is about 813.6627901755.

The spelling of 538683120 in words is "five hundred thirty-eight million, six hundred eighty-three thousand, one hundred twenty".