89008400 has 60 divisors (see below), whose sum is σ = 230305572. Its totient is φ = 32862720.

The previous prime is 89008397. The next prime is 89008411. The reversal of 89008400 is 480098.

It can be written as a sum of positive squares in 6 ways, for example, as 38142976 + 50865424 = 6176^2 + 7132^2 .

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, 3359 + ... + 13758.

Almost surely, 2^89008400 is an apocalyptic number.

89008400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89008400 is an abundant number, since it is smaller than the sum of its proper divisors (141297172).

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

89008400 is a wasteful number, since it uses less digits than its factorization.

89008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17148 (or 17137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 89008400 is about 9434.4263206620. The cubic root of 89008400 is about 446.4885555056.

Adding to 89008400 its reverse (480098), we get a palindrome (89488498).

The spelling of 89008400 in words is "eighty-nine million, eight thousand, four hundred".