536756832 has 72 divisors (see below), whose sum is σ = 1549240056. Its totient is φ = 176242176.

The previous prime is 536756813. The next prime is 536756837. The reversal of 536756832 is 238657635.

536756832 is a `hidden beast` number, since 53 + 6 + 7 + 568 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536756837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5388 + ... + 33204.

It is an arithmetic number, because the mean of its divisors is an integer number (21517223).

Almost surely, 2^536756832 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 536756832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774620028).

536756832 is an abundant number, since it is smaller than the sum of its proper divisors (1012483224).

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

536756832 is a wasteful number, since it uses less digits than its factorization.

536756832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27900 (or 27889 counting only the distinct ones).

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

The square root of 536756832 is about 23168.0131215432. The cubic root of 536756832 is about 812.6917673427.

The spelling of 536756832 in words is "five hundred thirty-six million, seven hundred fifty-six thousand, eight hundred thirty-two".