88624560 has 40 divisors (see below), whose sum is σ = 274736880. Its totient is φ = 23633152.

The previous prime is 88624559. The next prime is 88624561. The reversal of 88624560 is 6542688.

It is an interprime number because it is at equal distance from previous prime (88624559) and next prime (88624561).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (88624561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 184395 + ... + 184874.

It is an arithmetic number, because the mean of its divisors is an integer number (6868422).

Almost surely, 2^88624560 is an apocalyptic number.

88624560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88624560 is an abundant number, since it is smaller than the sum of its proper divisors (186112320).

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

88624560 is a wasteful number, since it uses less digits than its factorization.

88624560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369285 (or 369279 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 88624560 is about 9414.0618226141. The cubic root of 88624560 is about 445.8458179945.

The spelling of 88624560 in words is "eighty-eight million, six hundred twenty-four thousand, five hundred sixty".