1056214256 has 40 divisors (see below), whose sum is σ = 2160218880. Its totient is φ = 498896064.

The previous prime is 1056214223. The next prime is 1056214261. The reversal of 1056214256 is 6524126501.

It is a super-2 number, since 2×1056214256² = 2231177109155267072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106835 + ... + 116301.

It is an arithmetic number, because the mean of its divisors is an integer number (54005472).

Almost surely, 2^1056214256 is an apocalyptic number.

1056214256 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 1056214256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080109440).

1056214256 is an abundant number, since it is smaller than the sum of its proper divisors (1104004624).

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

1056214256 is a wasteful number, since it uses less digits than its factorization.

1056214256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9861 (or 9855 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1056214256 is about 32499.4500876553. The cubic root of 1056214256 is about 1018.3975401800.

The spelling of 1056214256 in words is "one billion, fifty-six million, two hundred fourteen thousand, two hundred fifty-six".