8892960 has 96 divisors (see below), whose sum is σ = 28449792. Its totient is φ = 2334720.

The previous prime is 8892907. The next prime is 8892991. The reversal of 8892960 is 692988.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46465 + ... + 46655.

It is an arithmetic number, because the mean of its divisors is an integer number (296352).

Almost surely, 2^8892960 is an apocalyptic number.

8892960 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 8892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224896).

8892960 is an abundant number, since it is smaller than the sum of its proper divisors (19556832).

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

8892960 is a wasteful number, since it uses less digits than its factorization.

8892960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 8892960 is about 2982.1066379323. The cubic root of 8892960 is about 207.1804536254.

The spelling of 8892960 in words is "eight million, eight hundred ninety-two thousand, nine hundred sixty".