88612560 has 120 divisors (see below), whose sum is σ = 310587264. Its totient is φ = 22598400.

The previous prime is 88612549. The next prime is 88612571. The reversal of 88612560 is 6521688.

It is a happy number.

88612560 is a `hidden beast` number, since 8 + 86 + 12 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (88612549) and next prime (88612571).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13885 + ... + 19235.

Almost surely, 2^88612560 is an apocalyptic number.

88612560 is a gapful number since it is divisible by the number (80) 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 88612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155293632).

88612560 is an abundant number, since it is smaller than the sum of its proper divisors (221974704).

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

88612560 is a wasteful number, since it uses less digits than its factorization.

88612560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 88612560 is about 9413.4244565939. The cubic root of 88612560 is about 445.8256941850.

The spelling of 88612560 in words is "eighty-eight million, six hundred twelve thousand, five hundred sixty".