88896960 has 112 divisors (see below), whose sum is σ = 313639200. Its totient is φ = 23703552.

The previous prime is 88896959. The next prime is 88896967. The reversal of 88896960 is 6969888.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 88896897 and 88896906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88896967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3496 + ... + 13784.

It is an arithmetic number, because the mean of its divisors is an integer number (2800350).

Almost surely, 2^88896960 is an apocalyptic number.

88896960 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 88896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156819600).

88896960 is an abundant number, since it is smaller than the sum of its proper divisors (224742240).

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

88896960 is a wasteful number, since it uses less digits than its factorization.

88896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10315 (or 10299 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 88896960 is about 9428.5184414096. The cubic root of 88896960 is about 446.3021406486.

The spelling of 88896960 in words is "eighty-eight million, eight hundred ninety-six thousand, nine hundred sixty".