1076408256 has 168 divisors, whose sum is σ = 3578189440. Its totient is φ = 279544320.

The previous prime is 1076408251. The next prime is 1076408269. The reversal of 1076408256 is 6528046701.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076408251) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 159315 + ... + 165933.

Almost surely, 2^1076408256 is an apocalyptic number.

1076408256 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 1076408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789094720).

1076408256 is an abundant number, since it is smaller than the sum of its proper divisors (2501781184).

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

1076408256 is a wasteful number, since it uses less digits than its factorization.

1076408256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6663 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 1076408256 is about 32808.6612954567. The cubic root of 1076408256 is about 1024.8469352243.

The spelling of 1076408256 in words is "one billion, seventy-six million, four hundred eight thousand, two hundred fifty-six".