882960 has 80 divisors (see below), whose sum is σ = 2958144. Its totient is φ = 216576.

The previous prime is 882953. The next prime is 882961. The reversal of 882960 is 69288.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (882961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2979 + ... + 3261.

2⁸⁸²⁹⁶⁰ is an apocalyptic number.

882960 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 882960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479072).

882960 is an abundant number, since it is smaller than the sum of its proper divisors (2075184).

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

882960 is a wasteful number, since it uses less digits than its factorization.

882960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 882960 is about 939.6595128024. The cubic root of 882960 is about 95.9357208588.

The spelling of 882960 in words is "eight hundred eighty-two thousand, nine hundred sixty".