981669920 has 144 divisors (see below), whose sum is σ = 2943355968. Its totient is φ = 305948160.

The previous prime is 981669917. The next prime is 981669937. The reversal of 981669920 is 29966189.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80549 + ... + 91931.

It is an arithmetic number, because the mean of its divisors is an integer number (20439972).

Almost surely, 2^981669920 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 981669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471677984).

981669920 is an abundant number, since it is smaller than the sum of its proper divisors (1961686048).

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

981669920 is a wasteful number, since it uses less digits than its factorization.

981669920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11423 (or 11408 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 50.

The square root of 981669920 is about 31331.6121513081. The cubic root of 981669920 is about 993.8522560282.

The spelling of 981669920 in words is "nine hundred eighty-one million, six hundred sixty-nine thousand, nine hundred twenty".