89465920 has 56 divisors (see below), whose sum is σ = 215798400. Its totient is φ = 35323392.

The previous prime is 89465911. The next prime is 89465923. The reversal of 89465920 is 2956498.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (89465923) 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, 23511 + ... + 27049.

Almost surely, 2^89465920 is an apocalyptic number.

89465920 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 89465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107899200).

89465920 is an abundant number, since it is smaller than the sum of its proper divisors (126332480).

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

89465920 is a wasteful number, since it uses less digits than its factorization.

89465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 89465920 is about 9458.6426087468. The cubic root of 89465920 is about 447.2522603237.

The spelling of 89465920 in words is "eighty-nine million, four hundred sixty-five thousand, nine hundred twenty".