1956070656 has 108 divisors (see below), whose sum is σ = 5681917332. Its totient is φ = 647159808.

The previous prime is 1956070639. The next prime is 1956070667. The reversal of 1956070656 is 6560706591.

1956070656 is a `hidden beast` number, since 19 + 560 + 70 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 958521600 + 997549056 = 30960^2 + 31584^2 .

It is a super-2 number, since 2×1956070656² = 7652424822528540672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312550 + ... + 318746.

Almost surely, 2^1956070656 is an apocalyptic number.

1956070656 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 1956070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840958666).

1956070656 is an abundant number, since it is smaller than the sum of its proper divisors (3725846676).

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

1956070656 is a wasteful number, since it uses less digits than its factorization.

1956070656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 1956070656 is about 44227.4875614702. The cubic root of 1956070656 is about 1250.6280909619.

The spelling of 1956070656 in words is "one billion, nine hundred fifty-six million, seventy thousand, six hundred fifty-six".