1257286896 has 90 divisors (see below), whose sum is σ = 3566308200. Its totient is φ = 413494848.

The previous prime is 1257286843. The next prime is 1257286897. The reversal of 1257286896 is 6986827521.

1257286896 is a `hidden beast` number, since 1 + 2 + 572 + 8 + 68 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257286897) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 898005 + ... + 899403.

Almost surely, 2^1257286896 is an apocalyptic number.

1257286896 is a gapful number since it is divisible by the number (16) 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 1257286896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783154100).

1257286896 is an abundant number, since it is smaller than the sum of its proper divisors (2309021304).

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

1257286896 is a wasteful number, since it uses less digits than its factorization.

1257286896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1483 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 1257286896 is about 35458.2415807665. The cubic root of 1257286896 is about 1079.3065095232.

The spelling of 1257286896 in words is "one billion, two hundred fifty-seven million, two hundred eighty-six thousand, eight hundred ninety-six".