89113600 has 99 divisors (see below), whose sum is σ = 224701237. Its totient is φ = 35041280.

The previous prime is 89113597. The next prime is 89113603. The reversal of 89113600 is 631198.

It is a happy number.

The square root of 89113600 is 9440.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (89113597) and next prime (89113603).

It can be written as a sum of positive squares in only one way, i.e., 32080896 + 57032704 = 5664^2 + 7552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89113603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1510371 + ... + 1510429.

Almost surely, 2^89113600 is an apocalyptic number.

89113600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89113600 is the 9440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89113600

89113600 is an abundant number, since it is smaller than the sum of its proper divisors (135587637).

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

89113600 is an equidigital number, since it uses as much as digits as its factorization.

89113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The cubic root of 89113600 is about 446.6643894837.

Multiplying 89113600 by its product of nonzero digits (1296), we get a square (115491225600 = 339840²).

Adding to 89113600 its reverse (631198), we get a palindrome (89744798).

The spelling of 89113600 in words is "eighty-nine million, one hundred thirteen thousand, six hundred".