1152917568 has 336 divisors, whose sum is σ = 3881567040. Its totient is φ = 323481600.

The previous prime is 1152917561. The next prime is 1152917599. The reversal of 1152917568 is 8657192511.

It is not an unprimeable number, because it can be changed into a prime (1152917561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7343346 + ... + 7343502.

Almost surely, 2^1152917568 is an apocalyptic number.

1152917568 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 1152917568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940783520).

1152917568 is an abundant number, since it is smaller than the sum of its proper divisors (2728649472).

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

1152917568 is a wasteful number, since it uses less digits than its factorization.

1152917568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 253 counting only the distinct ones).

The product of its digits is 151200, while the sum is 45.

The square root of 1152917568 is about 33954.6398596716. The cubic root of 1152917568 is about 1048.5748065576.

The spelling of 1152917568 in words is "one billion, one hundred fifty-two million, nine hundred seventeen thousand, five hundred sixty-eight".