89964561 has 16 divisors (see below), whose sum is σ = 127872000. Its totient is φ = 56064768.

The previous prime is 89964559. The next prime is 89964587. The reversal of 89964561 is 16546998.

It is not a de Polignac number, because 89964561 - 2¹ = 89964559 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 89964561.

It is not an unprimeable number, because it can be changed into a prime (89964551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1680 + ... + 13518.

It is an arithmetic number, because the mean of its divisors is an integer number (7992000).

Almost surely, 2^89964561 is an apocalyptic number.

It is an amenable number.

89964561 is a deficient number, since it is larger than the sum of its proper divisors (37907439).

89964561 is a wasteful number, since it uses less digits than its factorization.

89964561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12008.

The product of its digits is 466560, while the sum is 48.

The square root of 89964561 is about 9484.9649972997. The cubic root of 89964561 is about 448.0816460065.

It can be divided in two parts, 89964 and 561, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 89964561 in words is "eighty-nine million, nine hundred sixty-four thousand, five hundred sixty-one".