88005920 has 96 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 33868800.

The previous prime is 88005919. The next prime is 88005941. The reversal of 88005920 is 2950088.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 692897 + ... + 693023.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^88005920 is an apocalyptic number.

88005920 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 88005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

88005920 is an abundant number, since it is smaller than the sum of its proper divisors (127980256).

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

88005920 is a wasteful number, since it uses less digits than its factorization.

88005920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 88005920 is about 9381.1470514005. The cubic root of 88005920 is about 444.8059921039.

The spelling of 88005920 in words is "eighty-eight million, five thousand, nine hundred twenty".