86332032 has 48 divisors (see below), whose sum is σ = 248432730. Its totient is φ = 28776960.

The previous prime is 86332009. The next prime is 86332049. The reversal of 86332032 is 23023368.

86332032 is a `hidden beast` number, since 8 + 633 + 20 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82737216 + 3594816 = 9096^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 86331987 and 86332005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36319 + ... + 38622.

Almost surely, 2^86332032 is an apocalyptic number.

It is an amenable number.

86332032 is an abundant number, since it is smaller than the sum of its proper divisors (162100698).

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

86332032 is a wasteful number, since it uses less digits than its factorization.

86332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74961 (or 74946 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 86332032 is about 9291.5032153038. The cubic root of 86332032 is about 441.9678252345.

The spelling of 86332032 in words is "eighty-six million, three hundred thirty-two thousand, thirty-two".