89460816 has 80 divisors (see below), whose sum is σ = 244895040. Its totient is φ = 28062720.

The previous prime is 89460809. The next prime is 89460827. The reversal of 89460816 is 61806498.

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, 212286 + ... + 212706.

It is an arithmetic number, because the mean of its divisors is an integer number (3061188).

Almost surely, 2^89460816 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 89460816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122447520).

89460816 is an abundant number, since it is smaller than the sum of its proper divisors (155434224).

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

89460816 is a wasteful number, since it uses less digits than its factorization.

89460816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 89460816 is about 9458.3727987429. The cubic root of 89460816 is about 447.2437549660.

The spelling of 89460816 in words is "eighty-nine million, four hundred sixty thousand, eight hundred sixteen".