920080 has 80 divisors (see below), whose sum is σ = 2571264. Its totient is φ = 299520.

The previous prime is 920053. The next prime is 920107. The reversal of 920080 is 80029.

It is an interprime number because it is at equal distance from previous prime (920053) and next prime (920107).

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

It is an unprimeable number.

920080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17334 + ... + 17386.

2⁹²⁰⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632).

920080 is an abundant number, since it is smaller than the sum of its proper divisors (1651184).

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

920080 is a wasteful number, since it uses less digits than its factorization.

920080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 920080 is about 959.2080066388. The cubic root of 920080 is about 97.2617016382.

The spelling of 920080 in words is "nine hundred twenty thousand, eighty".