89600064 has 112 divisors (see below), whose sum is σ = 254495808. Its totient is φ = 27721728.

The previous prime is 89600059. The next prime is 89600087. The reversal of 89600064 is 46000698.

It is a junction number, because it is equal to n+sod(n) for n = 89599998 and 89600034.

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, 316467 + ... + 316749.

It is an arithmetic number, because the mean of its divisors is an integer number (2272284).

Almost surely, 2^89600064 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 89600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127247904).

89600064 is an abundant number, since it is smaller than the sum of its proper divisors (164895744).

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

89600064 is a wasteful number, since it uses less digits than its factorization.

89600064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 89600064 is about 9465.7310335758. The cubic root of 89600064 is about 447.4756833743.

The spelling of 89600064 in words is "eighty-nine million, six hundred thousand, sixty-four".