89713600 has 84 divisors (see below), whose sum is σ = 225637344. Its totient is φ = 35092480.

The previous prime is 89713583. The next prime is 89713619. The reversal of 89713600 is 631798.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74604 + ... + 75796.

Almost surely, 2^89713600 is an apocalyptic number.

89713600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112818672).

89713600 is an abundant number, since it is smaller than the sum of its proper divisors (135923744).

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

89713600 is a wasteful number, since it uses less digits than its factorization.

89713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 89713600 is about 9471.7263473983. The cubic root of 89713600 is about 447.6646086687.

The spelling of 89713600 in words is "eighty-nine million, seven hundred thirteen thousand, six hundred".