89260608 has 224 divisors, whose sum is σ = 276514560. Its totient is φ = 25231360.

The previous prime is 89260601. The next prime is 89260627. The reversal of 89260608 is 80606298.

It is a super-2 number, since 2×89260608² = 15934912281059328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89260601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2177068 + ... + 2177108.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2^89260608 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 89260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

89260608 is an abundant number, since it is smaller than the sum of its proper divisors (187253952).

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

89260608 is a wasteful number, since it uses less digits than its factorization.

89260608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 89260608 is about 9447.7832320603. The cubic root of 89260608 is about 446.9098707723.

The spelling of 89260608 in words is "eighty-nine million, two hundred sixty thousand, six hundred eight".