89890560 has 324 divisors, whose sum is σ = 342619368. Its totient is φ = 22560768.

The previous prime is 89890553. The next prime is 89890583. The reversal of 89890560 is 6509898.

89890560 is a `hidden beast` number, since 8 + 9 + 89 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×89890560² = 16160625554227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5287672 + ... + 5287688.

Almost surely, 2^89890560 is an apocalyptic number.

89890560 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 89890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171309684).

89890560 is an abundant number, since it is smaller than the sum of its proper divisors (252728808).

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

89890560 is an equidigital number, since it uses as much as digits as its factorization.

89890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 89890560 is about 9481.0632315158. The cubic root of 89890560 is about 447.9587547063.

The spelling of 89890560 in words is "eighty-nine million, eight hundred ninety thousand, five hundred sixty".