88131264 has 224 divisors, whose sum is σ = 278562816. Its totient is φ = 24330240.

The previous prime is 88131257. The next prime is 88131283. The reversal of 88131264 is 46213188.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315359 + ... + 1315425.

It is an arithmetic number, because the mean of its divisors is an integer number (1243584).

Almost surely, 2^88131264 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 88131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139281408).

88131264 is an abundant number, since it is smaller than the sum of its proper divisors (190431552).

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

88131264 is a wasteful number, since it uses less digits than its factorization.

88131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 88131264 is about 9387.8253072796. The cubic root of 88131264 is about 445.0170662141.

The spelling of 88131264 in words is "eighty-eight million, one hundred thirty-one thousand, two hundred sixty-four".