1074288768 has 128 divisors (see below), whose sum is σ = 3303168000. Its totient is φ = 302994432.

The previous prime is 1074288767. The next prime is 1074288779. The reversal of 1074288768 is 8678824701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1074288768.

It is not an unprimeable number, because it can be changed into a prime (1074288763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209823 + ... + 214881.

It is an arithmetic number, because the mean of its divisors is an integer number (25806000).

Almost surely, 2^1074288768 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 1074288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651584000).

1074288768 is an abundant number, since it is smaller than the sum of its proper divisors (2228879232).

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

1074288768 is an equidigital number, since it uses as much as digits as its factorization.

1074288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The square root of 1074288768 is about 32776.3446406093. The cubic root of 1074288768 is about 1024.1738393016.

The spelling of 1074288768 in words is "one billion, seventy-four million, two hundred eighty-eight thousand, seven hundred sixty-eight".