1956768930 has 96 divisors (see below), whose sum is σ = 5339468160. Its totient is φ = 496235520.

The previous prime is 1956768929. The next prime is 1956768943. The reversal of 1956768930 is 398676591.

1956768930 is a `hidden beast` number, since 19 + 567 + 68 + 9 + 3 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367890 + ... + 373170.

It is an arithmetic number, because the mean of its divisors is an integer number (55619460).

Almost surely, 2^1956768930 is an apocalyptic number.

1956768930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1956768930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669734080).

1956768930 is an abundant number, since it is smaller than the sum of its proper divisors (3382699230).

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

1956768930 is a wasteful number, since it uses less digits than its factorization.

1956768930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 1956768930 is about 44235.3809749617. The cubic root of 1956768930 is about 1250.7768887884.

The spelling of 1956768930 in words is "one billion, nine hundred fifty-six million, seven hundred sixty-eight thousand, nine hundred thirty".