89491824 has 80 divisors (see below), whose sum is σ = 270419200. Its totient is φ = 28257984.

The previous prime is 89491817. The next prime is 89491837. The reversal of 89491824 is 42819498.

89491824 is a `hidden beast` number, since 89 + 491 + 82 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 89491824.

It is a congruent number.

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, 2757 + ... + 13659.

It is an arithmetic number, because the mean of its divisors is an integer number (3380240).

Almost surely, 2^89491824 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 89491824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135209600).

89491824 is an abundant number, since it is smaller than the sum of its proper divisors (180927376).

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

89491824 is a wasteful number, since it uses less digits than its factorization.

89491824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10939 (or 10927 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 89491824 is about 9460.0118393161. The cubic root of 89491824 is about 447.2954220273.

The spelling of 89491824 in words is "eighty-nine million, four hundred ninety-one thousand, eight hundred twenty-four".