1307956656 has 80 divisors (see below), whose sum is σ = 3563680640. Its totient is φ = 412231680.

The previous prime is 1307956651. The next prime is 1307956679. The reversal of 1307956656 is 6566597031.

It is a super-2 number, since 2×1307956656² = 3421501227949404672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1307956651) 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, 612711 + ... + 614841.

It is an arithmetic number, because the mean of its divisors is an integer number (44546008).

Almost surely, 2^1307956656 is an apocalyptic number.

1307956656 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 1307956656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781840320).

1307956656 is an abundant number, since it is smaller than the sum of its proper divisors (2255723984).

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

1307956656 is a wasteful number, since it uses less digits than its factorization.

1307956656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The square root of 1307956656 is about 36165.6834029166. The cubic root of 1307956656 is about 1093.6149808145.

The spelling of 1307956656 in words is "one billion, three hundred seven million, nine hundred fifty-six thousand, six hundred fifty-six".