537656832 has 320 divisors, whose sum is σ = 1767744000. Its totient is φ = 160579584.

The previous prime is 537656827. The next prime is 537656849. The reversal of 537656832 is 238656735.

537656832 is a `hidden beast` number, since 53 + 7 + 6 + 568 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6041044 + ... + 6041132.

It is an arithmetic number, because the mean of its divisors is an integer number (5524200).

Almost surely, 2^537656832 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 537656832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883872000).

537656832 is an abundant number, since it is smaller than the sum of its proper divisors (1230087168).

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

537656832 is a wasteful number, since it uses less digits than its factorization.

537656832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 537656832 is about 23187.4283179485. The cubic root of 537656832 is about 813.1457371396.

The spelling of 537656832 in words is "five hundred thirty-seven million, six hundred fifty-six thousand, eight hundred thirty-two".