1057084560 has 320 divisors, whose sum is σ = 4197826560. Its totient is φ = 239500800.

The previous prime is 1057084559. The next prime is 1057084573. The reversal of 1057084560 is 654807501.

1057084560 is a `hidden beast` number, since 1 + 0 + 570 + 84 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×1057084560² = 2234855533980787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 2282889 + ... + 2283351.

It is an arithmetic number, because the mean of its divisors is an integer number (13118208).

Almost surely, 2^1057084560 is an apocalyptic number.

1057084560 is a gapful number since it is divisible by the number (10) 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 1057084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098913280).

1057084560 is an abundant number, since it is smaller than the sum of its proper divisors (3140742000).

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

1057084560 is a wasteful number, since it uses less digits than its factorization.

1057084560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1057084560 is about 32512.8368494661. The cubic root of 1057084560 is about 1018.6771779279.

The spelling of 1057084560 in words is "one billion, fifty-seven million, eighty-four thousand, five hundred sixty".