89992464 has 80 divisors (see below), whose sum is σ = 242246400. Its totient is φ = 28764288.

The previous prime is 89992453. The next prime is 89992519. The reversal of 89992464 is 46429998.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 121407 + ... + 122145.

It is an arithmetic number, because the mean of its divisors is an integer number (3028080).

Almost surely, 2^89992464 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 89992464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121123200).

89992464 is an abundant number, since it is smaller than the sum of its proper divisors (152253936).

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

89992464 is a wasteful number, since it uses less digits than its factorization.

89992464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 89992464 is about 9486.4357901163. The cubic root of 89992464 is about 448.1279662080.

The spelling of 89992464 in words is "eighty-nine million, nine hundred ninety-two thousand, four hundred sixty-four".