88085632 has 64 divisors (see below), whose sum is σ = 184089600. Its totient is φ = 41932800.

The previous prime is 88085617. The next prime is 88085633. The reversal of 88085632 is 23658088.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88085633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313332 + ... + 313612.

It is an arithmetic number, because the mean of its divisors is an integer number (2876400).

Almost surely, 2^88085632 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 88085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92044800).

88085632 is an abundant number, since it is smaller than the sum of its proper divisors (96003968).

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

88085632 is a wasteful number, since it uses less digits than its factorization.

88085632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 88085632 is about 9385.3946107769. The cubic root of 88085632 is about 444.9402469952.

The spelling of 88085632 in words is "eighty-eight million, eighty-five thousand, six hundred thirty-two".