1022964768 has 288 divisors, whose sum is σ = 3528947520. Its totient is φ = 287400960.

The previous prime is 1022964757. The next prime is 1022964781. The reversal of 1022964768 is 8674692201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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, 3090363 + ... + 3090693.

It is an arithmetic number, because the mean of its divisors is an integer number (12253290).

Almost surely, 2^1022964768 is an apocalyptic number.

1022964768 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 1022964768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764473760).

1022964768 is an abundant number, since it is smaller than the sum of its proper divisors (2505982752).

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

1022964768 is a wasteful number, since it uses less digits than its factorization.

1022964768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1022964768 is about 31983.8204097009. The cubic root of 1022964768 is about 1007.5970611726.

The spelling of 1022964768 in words is "one billion, twenty-two million, nine hundred sixty-four thousand, seven hundred sixty-eight".