981164384 has 96 divisors (see below), whose sum is σ = 2142878976. Its totient is φ = 440156160.

The previous prime is 981164377. The next prime is 981164413. The reversal of 981164384 is 483461189.

981164384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230674 + ... + 1231470.

It is an arithmetic number, because the mean of its divisors is an integer number (22321656).

Almost surely, 2^981164384 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 981164384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071439488).

981164384 is an abundant number, since it is smaller than the sum of its proper divisors (1161714592).

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

981164384 is a wasteful number, since it uses less digits than its factorization.

981164384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 920 counting only the distinct ones).

The product of its digits is 165888, while the sum is 44.

The square root of 981164384 is about 31323.5436054097. The cubic root of 981164384 is about 993.6816235326.

The spelling of 981164384 in words is "nine hundred eighty-one million, one hundred sixty-four thousand, three hundred eighty-four".