89814960 has 160 divisors (see below), whose sum is σ = 316884480. Its totient is φ = 23369472.

The previous prime is 89814941. The next prime is 89814983. The reversal of 89814960 is 6941898.

89814960 is a `hidden beast` number, since 89 + 81 + 496 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 92397 + ... + 93363.

It is an arithmetic number, because the mean of its divisors is an integer number (1980528).

Almost surely, 2^89814960 is an apocalyptic number.

89814960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89814960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158442240).

89814960 is an abundant number, since it is smaller than the sum of its proper divisors (227069520).

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

89814960 is a wasteful number, since it uses less digits than its factorization.

89814960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 89814960 is about 9477.0754982748. The cubic root of 89814960 is about 447.8331383263.

The spelling of 89814960 in words is "eighty-nine million, eight hundred fourteen thousand, nine hundred sixty".