89885400 has 96 divisors (see below), whose sum is σ = 303998400. Its totient is φ = 21788800.

The previous prime is 89885381. The next prime is 89885401. The reversal of 89885400 is 458898.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89885401) 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, 210 + ... + 13409.

It is an arithmetic number, because the mean of its divisors is an integer number (3166650).

Almost surely, 2^89885400 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 89885400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151999200).

89885400 is an abundant number, since it is smaller than the sum of its proper divisors (214113000).

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

89885400 is a wasteful number, since it uses less digits than its factorization.

89885400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13649 (or 13640 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 89885400 is about 9480.7911062316. The cubic root of 89885400 is about 447.9501831299.

The spelling of 89885400 in words is "eighty-nine million, eight hundred eighty-five thousand, four hundred".