88605936 has 120 divisors (see below), whose sum is σ = 267411456. Its totient is φ = 27308160.

The previous prime is 88605919. The next prime is 88605973. The reversal of 88605936 is 63950688.

88605936 is a `hidden beast` number, since 8 + 8 + 605 + 9 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 88605891 and 88605900.

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, 102241 + ... + 103103.

Almost surely, 2^88605936 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 88605936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133705728).

88605936 is an abundant number, since it is smaller than the sum of its proper divisors (178805520).

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

88605936 is a wasteful number, since it uses less digits than its factorization.

88605936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 88605936 is about 9413.0726120646. The cubic root of 88605936 is about 445.8145850638.

The spelling of 88605936 in words is "eighty-eight million, six hundred five thousand, nine hundred thirty-six".