538086840 has 256 divisors, whose sum is σ = 1835827200. Its totient is φ = 125452800.

The previous prime is 538086803. The next prime is 538086841. The reversal of 538086840 is 48680835.

It is a junction number, because it is equal to n+sod(n) for n = 538086792 and 538086801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538086841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1625475 + ... + 1625805.

It is an arithmetic number, because the mean of its divisors is an integer number (7171200).

Almost surely, 2^538086840 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 538086840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917913600).

538086840 is an abundant number, since it is smaller than the sum of its proper divisors (1297740360).

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

538086840 is a wasteful number, since it uses less digits than its factorization.

538086840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 538086840 is about 23196.6989030767. The cubic root of 538086840 is about 813.3624590185.

The spelling of 538086840 in words is "five hundred thirty-eight million, eighty-six thousand, eight hundred forty".