981408960 has 392 divisors, whose sum is σ = 4011082656. Its totient is φ = 223948800.

The previous prime is 981408941. The next prime is 981408973. The reversal of 981408960 is 69804189.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1632660 + ... + 1633260.

Almost surely, 2^981408960 is an apocalyptic number.

981408960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005541328).

981408960 is an abundant number, since it is smaller than the sum of its proper divisors (3029673696).

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

981408960 is an equidigital number, since it uses as much as digits as its factorization.

981408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 981408960 is about 31327.4473904275. The cubic root of 981408960 is about 993.7641820689.

The spelling of 981408960 in words is "nine hundred eighty-one million, four hundred eight thousand, nine hundred sixty".