1072644768 has 240 divisors, whose sum is σ = 3437302176. Its totient is φ = 327525120.

The previous prime is 1072644757. The next prime is 1072644787. The reversal of 1072644768 is 8674462701.

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 39 ways as a sum of consecutive naturals, for example, 8188063 + ... + 8188193.

Almost surely, 2^1072644768 is an apocalyptic number.

1072644768 is a gapful number since it is divisible by the number (18) 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 1072644768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718651088).

1072644768 is an abundant number, since it is smaller than the sum of its proper divisors (2364657408).

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

1072644768 is an frugal number, since it uses more digits than its factorization.

1072644768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 1072644768 is about 32751.2559759164. The cubic root of 1072644768 is about 1023.6511364499.

The spelling of 1072644768 in words is "one billion, seventy-two million, six hundred forty-four thousand, seven hundred sixty-eight".