981981792 has 360 divisors, whose sum is σ = 3309235776. Its totient is φ = 285120000.

The previous prime is 981981787. The next prime is 981981809. The reversal of 981981792 is 297189189.

981981792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9722542 + ... + 9722642.

Almost surely, 2^981981792 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 981981792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654617888).

981981792 is an abundant number, since it is smaller than the sum of its proper divisors (2327253984).

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

981981792 is a wasteful number, since it uses less digits than its factorization.

981981792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The square root of 981981792 is about 31336.5887103239. The cubic root of 981981792 is about 993.9574923086.

The spelling of 981981792 in words is "nine hundred eighty-one million, nine hundred eighty-one thousand, seven hundred ninety-two".