88506432 has 196 divisors, whose sum is σ = 302052736. Its totient is φ = 25194240.

The previous prime is 88506391. The next prime is 88506433. The reversal of 88506432 is 23460588.

88506432 is a `hidden beast` number, since 8 + 8 + 5 + 0 + 643 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (88506433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326457 + ... + 326727.

Almost surely, 2^88506432 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 88506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151026368).

88506432 is an abundant number, since it is smaller than the sum of its proper divisors (213546304).

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

88506432 is an equidigital number, since it uses as much as digits as its factorization.

88506432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 88506432 is about 9407.7857118453. The cubic root of 88506432 is about 445.6476400775.

The spelling of 88506432 in words is "eighty-eight million, five hundred six thousand, four hundred thirty-two".