89948064 has 48 divisors (see below), whose sum is σ = 236658240. Its totient is φ = 29913600.

The previous prime is 89948059. The next prime is 89948077. The reversal of 89948064 is 46084998.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 56917 + ... + 58475.

It is an arithmetic number, because the mean of its divisors is an integer number (4930380).

Almost surely, 2^89948064 is an apocalyptic number.

It is an amenable number.

89948064 is an abundant number, since it is smaller than the sum of its proper divisors (146710176).

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

89948064 is a wasteful number, since it uses less digits than its factorization.

89948064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 89948064 is about 9484.0953179521. The cubic root of 89948064 is about 448.0542557589.

The spelling of 89948064 in words is "eighty-nine million, nine hundred forty-eight thousand, sixty-four".