88056864 has 144 divisors (see below), whose sum is σ = 295626240. Its totient is φ = 24330240.

The previous prime is 88056853. The next prime is 88056877. The reversal of 88056864 is 46865088.

88056864 is a `hidden beast` number, since 8 + 80 + 568 + 6 + 4 = 666.

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

It is a super-2 number, since 2×88056864² = 15508022595028992, which contains 22 as substring.

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, 61792 + ... + 63200.

It is an arithmetic number, because the mean of its divisors is an integer number (2052960).

Almost surely, 2^88056864 is an apocalyptic number.

88056864 is a gapful number since it is divisible by the number (84) 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 88056864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147813120).

88056864 is an abundant number, since it is smaller than the sum of its proper divisors (207569376).

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

88056864 is a wasteful number, since it uses less digits than its factorization.

88056864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 88056864 is about 9383.8618915668. The cubic root of 88056864 is about 444.8918038517.

The spelling of 88056864 in words is "eighty-eight million, fifty-six thousand, eight hundred sixty-four".