88925760 has 336 divisors, whose sum is σ = 382292352. Its totient is φ = 18432000.

The previous prime is 88925731. The next prime is 88925773. The reversal of 88925760 is 6752988.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221560 + ... + 221960.

Almost surely, 2^88925760 is an apocalyptic number.

88925760 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 88925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191146176).

88925760 is an abundant number, since it is smaller than the sum of its proper divisors (293366592).

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

88925760 is a wasteful number, since it uses less digits than its factorization.

88925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 88925760 is about 9430.0455990414. The cubic root of 88925760 is about 446.3503316998.

The spelling of 88925760 in words is "eighty-eight million, nine hundred twenty-five thousand, seven hundred sixty".