88008960 has 288 divisors, whose sum is σ = 317294208. Its totient is φ = 20643840.

The previous prime is 88008929. The next prime is 88008961. The reversal of 88008960 is 6980088.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88008961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046699 + ... + 2046741.

It is an arithmetic number, because the mean of its divisors is an integer number (1101716).

Almost surely, 2^88008960 is an apocalyptic number.

88008960 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 88008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158647104).

88008960 is an abundant number, since it is smaller than the sum of its proper divisors (229285248).

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

88008960 is a wasteful number, since it uses less digits than its factorization.

88008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 88008960 is about 9381.3090770958. The cubic root of 88008960 is about 444.8111137088.

The spelling of 88008960 in words is "eighty-eight million, eight thousand, nine hundred sixty".