89998560 has 192 divisors, whose sum is σ = 320060160. Its totient is φ = 23616000.

The previous prime is 89998537. The next prime is 89998577. The reversal of 89998560 is 6589998.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 89998497 and 89998506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358435 + ... + 358685.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 2^89998560 is an apocalyptic number.

89998560 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 89998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

89998560 is an abundant number, since it is smaller than the sum of its proper divisors (230061600).

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

89998560 is a wasteful number, since it uses less digits than its factorization.

89998560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 89998560 is about 9486.7570855377. The cubic root of 89998560 is about 448.1380845604.

The spelling of 89998560 in words is "eighty-nine million, nine hundred ninety-eight thousand, five hundred sixty".