89857600 has 168 divisors, whose sum is σ = 258519168. Its totient is φ = 30105600.

The previous prime is 89857591. The next prime is 89857601. The reversal of 89857600 is 675898.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89857601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795144 + ... + 795256.

Almost surely, 2^89857600 is an apocalyptic number.

89857600 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 89857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129259584).

89857600 is an abundant number, since it is smaller than the sum of its proper divisors (168661568).

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

89857600 is a wasteful number, since it uses less digits than its factorization.

89857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 89857600 is about 9479.3248704747. The cubic root of 89857600 is about 447.9039972860.

The spelling of 89857600 in words is "eighty-nine million, eight hundred fifty-seven thousand, six hundred".