1057643280 has 60 divisors (see below), whose sum is σ = 3551921100. Its totient is φ = 282038016.

The previous prime is 1057643239. The next prime is 1057643291. The reversal of 1057643280 is 823467501.

1057643280 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 643 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 764411904 + 293231376 = 27648^2 + 17124^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1057643280² = 2237218615458316800, 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 733755 + ... + 735194.

It is an arithmetic number, because the mean of its divisors is an integer number (59198685).

Almost surely, 2^1057643280 is an apocalyptic number.

1057643280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057643280 is an abundant number, since it is smaller than the sum of its proper divisors (2494277820).

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

1057643280 is a wasteful number, since it uses less digits than its factorization.

1057643280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468968 (or 1468959 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1057643280 is about 32521.4280129271. The cubic root of 1057643280 is about 1018.8566196013.

The spelling of 1057643280 in words is "one billion, fifty-seven million, six hundred forty-three thousand, two hundred eighty".