89718800 has 60 divisors (see below), whose sum is σ = 219142596. Its totient is φ = 35289600.

The previous prime is 89718793. The next prime is 89718803. The reversal of 89718800 is 881798.

It can be written as a sum of positive squares in 6 ways, for example, as 7054336 + 82664464 = 2656^2 + 9092^2 .

It is not an unprimeable number, because it can be changed into a prime (89718803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22562 + ... + 26238.

Almost surely, 2^89718800 is an apocalyptic number.

89718800 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 89718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109571298).

89718800 is an abundant number, since it is smaller than the sum of its proper divisors (129423796).

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

89718800 is a wasteful number, since it uses less digits than its factorization.

89718800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 41.

The square root of 89718800 is about 9472.0008445946. Note that the first 3 decimals coincide. The cubic root of 89718800 is about 447.6732577141.

It can be divided in two parts, 8971 and 8800, that added together give a palindrome (17771).

The spelling of 89718800 in words is "eighty-nine million, seven hundred eighteen thousand, eight hundred".