89980800 has 384 divisors, whose sum is σ = 368309760. Its totient is φ = 18800640.

The previous prime is 89980783. The next prime is 89980819. The reversal of 89980800 is 808998.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873549 + ... + 873651.

It is an arithmetic number, because the mean of its divisors is an integer number (959140).

Almost surely, 2^89980800 is an apocalyptic number.

89980800 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 89980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184154880).

89980800 is an abundant number, since it is smaller than the sum of its proper divisors (278328960).

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

89980800 is a wasteful number, since it uses less digits than its factorization.

89980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 89980800 is about 9485.8209976786. The cubic root of 89980800 is about 448.1086046222.

The spelling of 89980800 in words is "eighty-nine million, nine hundred eighty thousand, eight hundred".