88580736 has 192 divisors, whose sum is σ = 279806400. Its totient is φ = 27578880.

The previous prime is 88580683. The next prime is 88580743. The reversal of 88580736 is 63708588.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 88580691 and 88580700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1247581 + ... + 1247651.

It is an arithmetic number, because the mean of its divisors is an integer number (1457325).

Almost surely, 2^88580736 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 88580736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139903200).

88580736 is an abundant number, since it is smaller than the sum of its proper divisors (191225664).

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

88580736 is a wasteful number, since it uses less digits than its factorization.

88580736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 88580736 is about 9411.7339528909. The cubic root of 88580736 is about 445.7723170426.

The spelling of 88580736 in words is "eighty-eight million, five hundred eighty thousand, seven hundred thirty-six".