920880 has 60 divisors (see below), whose sum is σ = 3095040. Its totient is φ = 245376.

The previous prime is 920869. The next prime is 920891. The reversal of 920880 is 88029.

It is an interprime number because it is at equal distance from previous prime (920869) and next prime (920891).

It is a tau number, because it is divible by the number of its divisors (60).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 920880.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81 + ... + 1359.

It is an arithmetic number, because the mean of its divisors is an integer number (51584).

2⁹²⁰⁸⁸⁰ is an apocalyptic number.

920880 is a gapful number since it is divisible by the number (90) 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 920880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547520).

920880 is an abundant number, since it is smaller than the sum of its proper divisors (2174160).

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

920880 is a wasteful number, since it uses less digits than its factorization.

920880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 920880 is about 959.6249267292. The cubic root of 920880 is about 97.2898828184.

The spelling of 920880 in words is "nine hundred twenty thousand, eight hundred eighty".