89542400 has 108 divisors (see below), whose sum is σ = 234953712. Its totient is φ = 33669120.

The previous prime is 89542399. The next prime is 89542403. The reversal of 89542400 is 424598.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89542403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108389 + ... + 109211.

Almost surely, 2^89542400 is an apocalyptic number.

89542400 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 89542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117476856).

89542400 is an abundant number, since it is smaller than the sum of its proper divisors (145411312).

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

89542400 is a wasteful number, since it uses less digits than its factorization.

89542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 89542400 is about 9462.6846085030. The cubic root of 89542400 is about 447.3796686543.

Adding to 89542400 its reverse (424598), we get a palindrome (89966998).

The spelling of 89542400 in words is "eighty-nine million, five hundred forty-two thousand, four hundred".