89114400 has 108 divisors (see below), whose sum is σ = 314265042. Its totient is φ = 23761920.

The previous prime is 89114393. The next prime is 89114401. The reversal of 89114400 is 441198.

It can be written as a sum of positive squares in 3 ways, for example, as 47279376 + 41835024 = 6876^2 + 6468^2 .

It is not an unprimeable number, because it can be changed into a prime (89114401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1012 + ... + 13388.

Almost surely, 2^89114400 is an apocalyptic number.

89114400 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 89114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132521).

89114400 is an abundant number, since it is smaller than the sum of its proper divisors (225150642).

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

89114400 is a wasteful number, since it uses less digits than its factorization.

89114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12403 (or 12387 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 89114400 is about 9440.0423727863. The cubic root of 89114400 is about 446.6657260939.

Adding to 89114400 its reverse (441198), we get a palindrome (89555598).

The spelling of 89114400 in words is "eighty-nine million, one hundred fourteen thousand, four hundred".