981089280 has 352 divisors, whose sum is σ = 3584378880. Its totient is φ = 254361600.

The previous prime is 981089273. The next prime is 981089293. The reversal of 981089280 is 82980189.

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

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 31 ways as a sum of consecutive naturals, for example, 6497205 + ... + 6497355.

Almost surely, 2^981089280 is an apocalyptic number.

981089280 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 981089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792189440).

981089280 is an abundant number, since it is smaller than the sum of its proper divisors (2603289600).

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

981089280 is a wasteful number, since it uses less digits than its factorization.

981089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 981089280 is about 31322.3447398179. The cubic root of 981089280 is about 993.6562688384.

The spelling of 981089280 in words is "nine hundred eighty-one million, eighty-nine thousand, two hundred eighty".