1257908868 has 36 divisors (see below), whose sum is σ = 3182807628. Its totient is φ = 418895040.

The previous prime is 1257908867. The next prime is 1257908879. The reversal of 1257908868 is 8688097521.

1257908868 is a `hidden beast` number, since 1 + 2 + 579 + 0 + 8 + 8 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 385415424 + 872493444 = 19632^2 + 29538^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1257908867) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21730 + ... + 54662.

It is an arithmetic number, because the mean of its divisors is an integer number (88411323).

Almost surely, 2^1257908868 is an apocalyptic number.

1257908868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1257908868 is an abundant number, since it is smaller than the sum of its proper divisors (1924898760).

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

1257908868 is a wasteful number, since it uses less digits than its factorization.

1257908868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34004 (or 33999 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 1257908868 is about 35467.0109820379. The cubic root of 1257908868 is about 1079.4844555871.

The spelling of 1257908868 in words is "one billion, two hundred fifty-seven million, nine hundred eight thousand, eight hundred sixty-eight".