1074864768 has 64 divisors (see below), whose sum is σ = 2860488000. Its totient is φ = 357613568.

The previous prime is 1074864737. The next prime is 1074864781. The reversal of 1074864768 is 8674684701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1074864768.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227680 + ... + 232352.

It is an arithmetic number, because the mean of its divisors is an integer number (44695125).

Almost surely, 2^1074864768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430244000).

1074864768 is an abundant number, since it is smaller than the sum of its proper divisors (1785623232).

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

1074864768 is an equidigital number, since it uses as much as digits as its factorization.

1074864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 1074864768 is about 32785.1302879827. The cubic root of 1074864768 is about 1024.3568499121.

The spelling of 1074864768 in words is "one billion, seventy-four million, eight hundred sixty-four thousand, seven hundred sixty-eight".