916920 has 80 divisors (see below), whose sum is σ = 3092760. Its totient is φ = 243648.

The previous prime is 916913. The next prime is 916931. The reversal of 916920 is 29619.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 916920.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3099 + ... + 3381.

2⁹¹⁶⁹²⁰ is an apocalyptic number.

916920 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 916920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546380).

916920 is an abundant number, since it is smaller than the sum of its proper divisors (2175840).

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

916920 is a wasteful number, since it uses less digits than its factorization.

916920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 916920 is about 957.5593976355. The cubic root of 916920 is about 97.1502260022.

The spelling of 916920 in words is "nine hundred sixteen thousand, nine hundred twenty".