536232960 has 264 divisors, whose sum is σ = 1931319936. Its totient is φ = 142663680.

The previous prime is 536232941. The next prime is 536232979. The reversal of 536232960 is 69232635.

536232960 is a `hidden beast` number, since 5 + 3 + 623 + 29 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (536232941) and next prime (536232979).

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

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, 1243945 + ... + 1244375.

Almost surely, 2^536232960 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 536232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965659968).

536232960 is an abundant number, since it is smaller than the sum of its proper divisors (1395086976).

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

536232960 is an equidigital number, since it uses as much as digits as its factorization.

536232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 536232960 is about 23156.7044287394. The cubic root of 536232960 is about 812.4272869051.

The spelling of 536232960 in words is "five hundred thirty-six million, two hundred thirty-two thousand, nine hundred sixty".