89608896 has 112 divisors (see below), whose sum is σ = 283768800. Its totient is φ = 27565056.

The previous prime is 89608859. The next prime is 89608901. The reversal of 89608896 is 69880698.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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, 20470 + ... + 24458.

It is an arithmetic number, because the mean of its divisors is an integer number (2533650).

Almost surely, 2^89608896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141884400).

89608896 is an abundant number, since it is smaller than the sum of its proper divisors (194159904).

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

89608896 is a wasteful number, since it uses less digits than its factorization.

89608896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023 (or 4007 counting only the distinct ones).

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

The square root of 89608896 is about 9466.1975470619. The cubic root of 89608896 is about 447.4903856532.

The spelling of 89608896 in words is "eighty-nine million, six hundred eight thousand, eight hundred ninety-six".