982575360 has 396 divisors, whose sum is σ = 3801907452. Its totient is φ = 241864704.

The previous prime is 982575343. The next prime is 982575379. The reversal of 982575360 is 63575289.

It is a happy number.

982575360 is a `hidden beast` number, since 98 + 25 + 7 + 536 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 241864704 + 740710656 = 15552^2 + 27216^2 .

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1404 × 540 × 1296.

It is a congruent number.

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 43 ways as a sum of consecutive naturals, for example, 75582714 + ... + 75582726.

Almost surely, 2^982575360 is an apocalyptic number.

982575360 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 982575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900953726).

982575360 is an abundant number, since it is smaller than the sum of its proper divisors (2819332092).

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

982575360 is an frugal number, since it uses more digits than its factorization.

982575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 982575360 is about 31346.0581253848. The cubic root of 982575360 is about 994.1577209117.

The spelling of 982575360 in words is "nine hundred eighty-two million, five hundred seventy-five thousand, three hundred sixty".