1256662080 has 224 divisors, whose sum is σ = 4554199680. Its totient is φ = 325969920.

The previous prime is 1256662073. The next prime is 1256662093. The reversal of 1256662080 is 802666521.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 317715 + ... + 321645.

Almost surely, 2^1256662080 is an apocalyptic number.

1256662080 is a gapful number since it is divisible by the number (10) 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 1256662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277099840).

1256662080 is an abundant number, since it is smaller than the sum of its proper divisors (3297537600).

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

1256662080 is a wasteful number, since it uses less digits than its factorization.

1256662080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1256662080 is about 35449.4298966852. The cubic root of 1256662080 is about 1079.1276906926.

The spelling of 1256662080 in words is "one billion, two hundred fifty-six million, six hundred sixty-two thousand, eighty".