88162560 has 144 divisors (see below), whose sum is σ = 312977280. Its totient is φ = 23500800.

The previous prime is 88162537. The next prime is 88162573. The reversal of 88162560 is 6526188.

It is a happy number.

88162560 is a `hidden beast` number, since 88 + 16 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 33285 + ... + 35835.

Almost surely, 2^88162560 is an apocalyptic number.

88162560 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 88162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156488640).

88162560 is an abundant number, since it is smaller than the sum of its proper divisors (224814720).

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

88162560 is a wasteful number, since it uses less digits than its factorization.

88162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2561 counting only the distinct ones).

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

The square root of 88162560 is about 9389.4919990381. The cubic root of 88162560 is about 445.0697361568.

The spelling of 88162560 in words is "eighty-eight million, one hundred sixty-two thousand, five hundred sixty".