1057766280 has 64 divisors (see below), whose sum is σ = 3175545600. Its totient is φ = 281871360.

The previous prime is 1057766263. The next prime is 1057766287. The reversal of 1057766280 is 826677501.

1057766280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057766280² = 2237739006210076800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057766287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257281 + ... + 261359.

It is an arithmetic number, because the mean of its divisors is an integer number (49617900).

Almost surely, 2^1057766280 is an apocalyptic number.

1057766280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057766280 is an abundant number, since it is smaller than the sum of its proper divisors (2117779320).

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

1057766280 is a wasteful number, since it uses less digits than its factorization.

1057766280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 1057766280 is about 32523.3190188209. The cubic root of 1057766280 is about 1018.8961144886.

The spelling of 1057766280 in words is "one billion, fifty-seven million, seven hundred sixty-six thousand, two hundred eighty".