89080992 has 384 divisors, whose sum is σ = 352235520. Its totient is φ = 21150720.

The previous prime is 89080919. The next prime is 89080997. The reversal of 89080992 is 29908098.

It is not an unprimeable number, because it can be changed into a prime (89080997) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 864813 + ... + 864915.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^89080992 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 89080992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

89080992 is an abundant number, since it is smaller than the sum of its proper divisors (263154528).

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

89080992 is a wasteful number, since it uses less digits than its factorization.

89080992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 89080992 is about 9438.2727233324. The cubic root of 89080992 is about 446.6099024422.

The spelling of 89080992 in words is "eighty-nine million, eighty thousand, nine hundred ninety-two".