89640960 has 104 divisors (see below), whose sum is σ = 287012640. Its totient is φ = 23887872.

The previous prime is 89640937. The next prime is 89640977. The reversal of 89640960 is 6904698.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60711 + ... + 62169.

Almost surely, 2^89640960 is an apocalyptic number.

89640960 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 89640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143506320).

89640960 is an abundant number, since it is smaller than the sum of its proper divisors (197371680).

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

89640960 is a wasteful number, since it uses less digits than its factorization.

89640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 89640960 is about 9467.8910006400. The cubic root of 89640960 is about 447.5437531994.

The spelling of 89640960 in words is "eighty-nine million, six hundred forty thousand, nine hundred sixty".