89664160 has 48 divisors (see below), whose sum is σ = 212399712. Its totient is φ = 35769600.

The previous prime is 89664151. The next prime is 89664161. The reversal of 89664160 is 6146698.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (89664161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110155 + ... + 110965.

It is an arithmetic number, because the mean of its divisors is an integer number (4424994).

Almost surely, 2^89664160 is an apocalyptic number.

89664160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89664160 is an abundant number, since it is smaller than the sum of its proper divisors (122735552).

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

89664160 is a wasteful number, since it uses less digits than its factorization.

89664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 89664160 is about 9469.1161150342. The cubic root of 89664160 is about 447.5823595071.

It can be divided in two parts, 896 and 64160, that added together give a palindrome (65056).

The spelling of 89664160 in words is "eighty-nine million, six hundred sixty-four thousand, one hundred sixty".