1257607568 has 80 divisors (see below), whose sum is σ = 2942728320. Its totient is φ = 508612608.

The previous prime is 1257607567. The next prime is 1257607579. The reversal of 1257607568 is 8657067521.

It is not an unprimeable number, because it can be changed into a prime (1257607567) 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, 622496 + ... + 624512.

It is an arithmetic number, because the mean of its divisors is an integer number (36784104).

Almost surely, 2^1257607568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257607568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471364160).

1257607568 is an abundant number, since it is smaller than the sum of its proper divisors (1685120752).

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

1257607568 is a wasteful number, since it uses less digits than its factorization.

1257607568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 47.

The square root of 1257607568 is about 35462.7631185163. The cubic root of 1257607568 is about 1079.3982610445.

The spelling of 1257607568 in words is "one billion, two hundred fifty-seven million, six hundred seven thousand, five hundred sixty-eight".