89796960 has 144 divisors (see below), whose sum is σ = 334348560. Its totient is φ = 21765120.

The previous prime is 89796947. The next prime is 89797003. The reversal of 89796960 is 6969798.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 89796897 and 89796906.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13006 + ... + 18674.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2^89796960 is an apocalyptic number.

89796960 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 89796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167174280).

89796960 is an abundant number, since it is smaller than the sum of its proper divisors (244551600).

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

89796960 is a wasteful number, since it uses less digits than its factorization.

89796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5701 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 89796960 is about 9476.1257906383. The cubic root of 89796960 is about 447.8032192754.

The spelling of 89796960 in words is "eighty-nine million, seven hundred ninety-six thousand, nine hundred sixty".