89192960 has 40 divisors (see below), whose sum is σ = 213860196. Its totient is φ = 35676160.

The previous prime is 89192959. The next prime is 89192963. The reversal of 89192960 is 6929198.

It can be written as a sum of positive squares in 2 ways, for example, as 82882816 + 6310144 = 9104^2 + 2512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×89192960² = 15910768227123200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89192963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14861 + ... + 19980.

Almost surely, 2^89192960 is an apocalyptic number.

89192960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89192960 is an abundant number, since it is smaller than the sum of its proper divisors (124667236).

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

89192960 is an equidigital number, since it uses as much as digits as its factorization.

89192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34864 (or 34848 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 89192960 is about 9444.2024544161. The cubic root of 89192960 is about 446.7969422727.

The spelling of 89192960 in words is "eighty-nine million, one hundred ninety-two thousand, nine hundred sixty".