981775360 has 88 divisors (see below), whose sum is σ = 2366250120. Its totient is φ = 390856704.

The previous prime is 981775357. The next prime is 981775369. The reversal of 981775360 is 63577189.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 981443584 = 576^2 + 31328^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 981775360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981775369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1725156 + ... + 1725724.

Almost surely, 2^981775360 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 981775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183125060).

981775360 is an abundant number, since it is smaller than the sum of its proper divisors (1384474760).

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

981775360 is a wasteful number, since it uses less digits than its factorization.

981775360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 981775360 is about 31333.2947517493. The cubic root of 981775360 is about 993.8878375844.

The spelling of 981775360 in words is "nine hundred eighty-one million, seven hundred seventy-five thousand, three hundred sixty".