88636752 has 60 divisors (see below), whose sum is σ = 254126964. Its totient is φ = 28823040.

The previous prime is 88636727. The next prime is 88636763. The reversal of 88636752 is 25763688.

88636752 is a `hidden beast` number, since 8 + 8 + 636 + 7 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 58430736 = 5496^2 + 7644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 88636698 and 88636707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1603 + ... + 13410.

Almost surely, 2^88636752 is an apocalyptic number.

88636752 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88636752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127063482).

88636752 is an abundant number, since it is smaller than the sum of its proper divisors (165490212).

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

88636752 is a wasteful number, since it uses less digits than its factorization.

88636752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15068 (or 15059 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 88636752 is about 9414.7093423005. The cubic root of 88636752 is about 445.8662619248.

The spelling of 88636752 in words is "eighty-eight million, six hundred thirty-six thousand, seven hundred fifty-two".