88566752 has 96 divisors (see below), whose sum is σ = 196116480. Its totient is φ = 39191040.

The previous prime is 88566743. The next prime is 88566761. The reversal of 88566752 is 25766588.

It is an interprime number because it is at equal distance from previous prime (88566743) and next prime (88566761).

Its product of digits (806400) is a multiple of the sum of its prime factors (224).

It is a junction number, because it is equal to n+sod(n) for n = 88566697 and 88566706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697313 + ... + 697439.

It is an arithmetic number, because the mean of its divisors is an integer number (2042880).

Almost surely, 2^88566752 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 88566752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98058240).

88566752 is an abundant number, since it is smaller than the sum of its proper divisors (107549728).

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

88566752 is a wasteful number, since it uses less digits than its factorization.

88566752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its digits is 806400, while the sum is 47.

The square root of 88566752 is about 9410.9910211412. The cubic root of 88566752 is about 445.7488581867.

The spelling of 88566752 in words is "eighty-eight million, five hundred sixty-six thousand, seven hundred fifty-two".