89526400 has 96 divisors (see below), whose sum is σ = 224154180. Its totient is φ = 35328000.

The previous prime is 89526391. The next prime is 89526413. The reversal of 89526400 is 462598.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 42302016 + 47224384 = 6504^2 + 6872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323062 + ... + 323338.

Almost surely, 2^89526400 is an apocalyptic number.

89526400 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 89526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112077090).

89526400 is an abundant number, since it is smaller than the sum of its proper divisors (134627780).

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

89526400 is a wasteful number, since it uses less digits than its factorization.

89526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 89526400 is about 9461.8391446906. The cubic root of 89526400 is about 447.3530201946.

Adding to 89526400 its reverse (462598), we get a palindrome (89988998).

The spelling of 89526400 in words is "eighty-nine million, five hundred twenty-six thousand, four hundred".