1087416576 has 135 divisors (see below), whose sum is σ = 3256700601. Its totient is φ = 360889344.

The previous prime is 1087416553. The next prime is 1087416613. The reversal of 1087416576 is 6756147801.

The square root of 1087416576 is 32976.

It is a perfect power (a square), and thus also a powerful number.

1087416576 is a `hidden beast` number, since 1 + 0 + 8 + 74 + 1 + 6 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1012766976 + 74649600 = 31824^2 + 8640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4748430 + ... + 4748658.

Almost surely, 2^1087416576 is an apocalyptic number.

1087416576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1087416576 is the 32976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087416576

1087416576 is an abundant number, since it is smaller than the sum of its proper divisors (2169284025).

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

1087416576 is an frugal number, since it uses more digits than its factorization.

1087416576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The cubic root of 1087416576 is about 1028.3287618007.

The spelling of 1087416576 in words is "one billion, eighty-seven million, four hundred sixteen thousand, five hundred seventy-six".