89892992 has 64 divisors (see below), whose sum is σ = 209744640. Its totient is φ = 37570560.

The previous prime is 89892983. The next prime is 89893007. The reversal of 89892992 is 29929898.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35513 + ... + 37959.

It is an arithmetic number, because the mean of its divisors is an integer number (3277260).

Almost surely, 2^89892992 is an apocalyptic number.

89892992 is a gapful number since it is divisible by the number (82) 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 89892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104872320).

89892992 is an abundant number, since it is smaller than the sum of its proper divisors (119851648).

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

89892992 is a wasteful number, since it uses less digits than its factorization.

89892992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2497 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 56.

The square root of 89892992 is about 9481.1914863059. The cubic root of 89892992 is about 447.9627945293.

The spelling of 89892992 in words is "eighty-nine million, eight hundred ninety-two thousand, nine hundred ninety-two".