981920 has 72 divisors (see below), whose sum is σ = 2592324. Its totient is φ = 350208.

The previous prime is 981919. The next prime is 981941. The reversal of 981920 is 29189.

It can be written as a sum of positive squares in 2 ways, for example, as 976144 + 5776 = 988^2 + 76^2 .

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, 51671 + ... + 51689.

2⁹⁸¹⁹²⁰ 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 981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296162).

981920 is an abundant number, since it is smaller than the sum of its proper divisors (1610404).

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

981920 is a wasteful number, since it uses less digits than its factorization.

981920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 981920 is about 990.9187655908. The cubic root of 981920 is about 99.3936643344.

The spelling of 981920 in words is "nine hundred eighty-one thousand, nine hundred twenty".