89530560 has 168 divisors, whose sum is σ = 352019616. Its totient is φ = 20459520.

The previous prime is 89530543. The next prime is 89530579. The reversal of 89530560 is 6503598.

89530560 is a `hidden beast` number, since 8 + 95 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 17940 + ... + 22380.

Almost surely, 2^89530560 is an apocalyptic number.

89530560 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 89530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176009808).

89530560 is an abundant number, since it is smaller than the sum of its proper divisors (262489056).

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

89530560 is a wasteful number, since it uses less digits than its factorization.

89530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 89530560 is about 9462.0589725493. The cubic root of 89530560 is about 447.3599490996.

The spelling of 89530560 in words is "eighty-nine million, five hundred thirty thousand, five hundred sixty".