981886560 has 384 divisors, whose sum is σ = 3530096640. Its totient is φ = 228096000.

The previous prime is 981886559. The next prime is 981886571. The reversal of 981886560 is 65688189.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6502485 + ... + 6502635.

It is an arithmetic number, because the mean of its divisors is an integer number (9192960).

Almost surely, 2^981886560 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 981886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765048320).

981886560 is an abundant number, since it is smaller than the sum of its proper divisors (2548210080).

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

981886560 is a wasteful number, since it uses less digits than its factorization.

981886560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The square root of 981886560 is about 31335.0691717762. The cubic root of 981886560 is about 993.9253601378.

The spelling of 981886560 in words is "nine hundred eighty-one million, eight hundred eighty-six thousand, five hundred sixty".