981507080 has 64 divisors (see below), whose sum is σ = 2252199600. Its totient is φ = 384860160.

The previous prime is 981507061. The next prime is 981507091. The reversal of 981507080 is 80705189.

It can be written as a sum of positive squares in 8 ways, for example, as 17156164 + 964350916 = 4142^2 + 31054^2 .

It is a super-2 number, since 2×981507080² = 1926712296180252800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056056 + ... + 1056984.

Almost surely, 2^981507080 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 981507080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126099800).

981507080 is an abundant number, since it is smaller than the sum of its proper divisors (1270692520).

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

981507080 is a wasteful number, since it uses less digits than its factorization.

981507080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 38.

The square root of 981507080 is about 31329.0133901468. The cubic root of 981507080 is about 993.7972993849.

The spelling of 981507080 in words is "nine hundred eighty-one million, five hundred seven thousand, eighty".