89772560 has 20 divisors (see below), whose sum is σ = 208721388. Its totient is φ = 35908992.

The previous prime is 89772547. The next prime is 89772569. The reversal of 89772560 is 6527798.

It can be written as a sum of positive squares in 2 ways, for example, as 70023424 + 19749136 = 8368^2 + 4444^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×89772560² = 16118225057907200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89772569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 560999 + ... + 561158.

Almost surely, 2^89772560 is an apocalyptic number.

89772560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89772560 is an abundant number, since it is smaller than the sum of its proper divisors (118948828).

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

89772560 is a wasteful number, since it uses less digits than its factorization.

89772560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122170 (or 1122164 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 89772560 is about 9474.8382571947. The cubic root of 89772560 is about 447.7626559559.

The spelling of 89772560 in words is "eighty-nine million, seven hundred seventy-two thousand, five hundred sixty".