89246400 has 84 divisors (see below), whose sum is σ = 292818312. Its totient is φ = 23797760.

The previous prime is 89246389. The next prime is 89246411. The reversal of 89246400 is 464298.

It is an interprime number because it is at equal distance from previous prime (89246389) and next prime (89246411).

It is an unprimeable number.

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, 4497 + ... + 14096.

Almost surely, 2^89246400 is an apocalyptic number.

89246400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89246400 is an abundant number, since it is smaller than the sum of its proper divisors (203571912).

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

89246400 is a wasteful number, since it uses less digits than its factorization.

89246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18618 (or 18603 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 89246400 is about 9447.0312797196. The cubic root of 89246400 is about 446.8861573167.

The spelling of 89246400 in words is "eighty-nine million, two hundred forty-six thousand, four hundred".