89959968 has 72 divisors (see below), whose sum is σ = 292376448. Its totient is φ = 25702272.

The previous prime is 89959967. The next prime is 89959973. The reversal of 89959968 is 86995998.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×89959968² = 16185591685122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (89959963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20296 + ... + 24327.

It is an arithmetic number, because the mean of its divisors is an integer number (4060784).

Almost surely, 2^89959968 is an apocalyptic number.

It is an amenable number.

89959968 is an abundant number, since it is smaller than the sum of its proper divisors (202416480).

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

89959968 is a wasteful number, since it uses less digits than its factorization.

89959968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44646 (or 44635 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 63.

The square root of 89959968 is about 9484.7228741804. The cubic root of 89959968 is about 448.0740205074.

The spelling of 89959968 in words is "eighty-nine million, nine hundred fifty-nine thousand, nine hundred sixty-eight".