981918720 has 176 divisors, whose sum is σ = 3490053120. Its totient is φ = 261808128.

The previous prime is 981918719. The next prime is 981918733. The reversal of 981918720 is 27819189.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134689 + ... + 141791.

Almost surely, 2^981918720 is an apocalyptic number.

981918720 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 981918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745026560).

981918720 is an abundant number, since it is smaller than the sum of its proper divisors (2508134400).

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

981918720 is a wasteful number, since it uses less digits than its factorization.

981918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7137 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 981918720 is about 31335.5823306349. The cubic root of 981918720 is about 993.9362114560.

The spelling of 981918720 in words is "nine hundred eighty-one million, nine hundred eighteen thousand, seven hundred twenty".