89966592 has 96 divisors (see below), whose sum is σ = 266666400. Its totient is φ = 29970432.

The previous prime is 89966581. The next prime is 89966603. The reversal of 89966592 is 29566998.

It is an interprime number because it is at equal distance from previous prime (89966581) and next prime (89966603).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54483 + ... + 56109.

It is an arithmetic number, because the mean of its divisors is an integer number (2777775).

Almost surely, 2^89966592 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 89966592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133333200).

89966592 is an abundant number, since it is smaller than the sum of its proper divisors (176699808).

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

89966592 is a wasteful number, since it uses less digits than its factorization.

89966592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1632 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 89966592 is about 9485.0720608754. The cubic root of 89966592 is about 448.0850178786.

The spelling of 89966592 in words is "eighty-nine million, nine hundred sixty-six thousand, five hundred ninety-two".