88872960 has 192 divisors, whose sum is σ = 311351040. Its totient is φ = 21463040.

The previous prime is 88872947. The next prime is 88872961. The reversal of 88872960 is 6927888.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88872961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337789 + ... + 338051.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^88872960 is an apocalyptic number.

88872960 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 88872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

88872960 is an abundant number, since it is smaller than the sum of its proper divisors (222478080).

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

88872960 is a wasteful number, since it uses less digits than its factorization.

88872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 88872960 is about 9427.2456210709. The cubic root of 88872960 is about 446.2619734879.

The spelling of 88872960 in words is "eighty-eight million, eight hundred seventy-two thousand, nine hundred sixty".