89971560 has 160 divisors (see below), whose sum is σ = 345692160. Its totient is φ = 20559744.

The previous prime is 89971559. The next prime is 89971571. The reversal of 89971560 is 6517998.

89971560 is a `hidden beast` number, since 89 + 9 + 7 + 1 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20697 + ... + 24663.

It is an arithmetic number, because the mean of its divisors is an integer number (2160576).

Almost surely, 2^89971560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89971560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172846080).

89971560 is an abundant number, since it is smaller than the sum of its proper divisors (255720600).

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

89971560 is a wasteful number, since it uses less digits than its factorization.

89971560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 89971560 is about 9485.3339424609. Note that the first 3 decimals coincide. The cubic root of 89971560 is about 448.0932655527.

The spelling of 89971560 in words is "eighty-nine million, nine hundred seventy-one thousand, five hundred sixty".