1011968256 has 72 divisors (see below), whose sum is σ = 2900517760. Its totient is φ = 311371776.

The previous prime is 1011968219. The next prime is 1011968261. The reversal of 1011968256 is 6528691101.

It is a super-3 number, since 3×1011968256³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40696 + ... + 60663.

Almost surely, 2^1011968256 is an apocalyptic number.

1011968256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1011968256 is an abundant number, since it is smaller than the sum of its proper divisors (1888549504).

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

1011968256 is a wasteful number, since it uses less digits than its factorization.

1011968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101391 (or 101377 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 1011968256 is about 31811.4485052159. The cubic root of 1011968256 is about 1003.9736081908.

The spelling of 1011968256 in words is "one billion, eleven million, nine hundred sixty-eight thousand, two hundred fifty-six".