89056800 has 576 divisors, whose sum is σ = 399974400. Its totient is φ = 18662400.

The previous prime is 89056789. The next prime is 89056811. The reversal of 89056800 is 865098.

89056800 is a `hidden beast` number, since 8 + 90 + 568 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (89056789) and next prime (89056811).

It is a super-2 number, since 2×89056800² = 15862227252480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2872785 + ... + 2872815.

It is an arithmetic number, because the mean of its divisors is an integer number (694400).

Almost surely, 2^89056800 is an apocalyptic number.

89056800 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 89056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

89056800 is an abundant number, since it is smaller than the sum of its proper divisors (310917600).

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

89056800 is a wasteful number, since it uses less digits than its factorization.

89056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 89056800 is about 9436.9910458790. The cubic root of 89056800 is about 446.5694697052.

The spelling of 89056800 in words is "eighty-nine million, fifty-six thousand, eight hundred".