981002880 has 512 divisors, whose sum is σ = 4092076800. Its totient is φ = 218972160.

The previous prime is 981002861. The next prime is 981002909. The reversal of 981002880 is 88200189.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2470842 + ... + 2471238.

Almost surely, 2^981002880 is an apocalyptic number.

981002880 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 981002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046038400).

981002880 is an abundant number, since it is smaller than the sum of its proper divisors (3111073920).

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

981002880 is a wasteful number, since it uses less digits than its factorization.

981002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 981002880 is about 31320.9655023596. The cubic root of 981002880 is about 993.6270990765.

The spelling of 981002880 in words is "nine hundred eighty-one million, two thousand, eight hundred eighty".