981732864 has 320 divisors, whose sum is σ = 3266790912. Its totient is φ = 255590400.

The previous prime is 981732859. The next prime is 981732883. The reversal of 981732864 is 468237189.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7494079 + ... + 7494209.

Almost surely, 2^981732864 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 981732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633395456).

981732864 is an abundant number, since it is smaller than the sum of its proper divisors (2285058048).

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

981732864 is a wasteful number, since it uses less digits than its factorization.

981732864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 981732864 is about 31332.6166159164. The cubic root of 981732864 is about 993.8734972819.

The spelling of 981732864 in words is "nine hundred eighty-one million, seven hundred thirty-two thousand, eight hundred sixty-four".