1152672768 has 220 divisors, whose sum is σ = 3710351260. Its totient is φ = 354336768.

The previous prime is 1152672767. The next prime is 1152672769. The reversal of 1152672768 is 8672762511.

1152672768 is a `hidden beast` number, since 115 + 267 + 276 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1152672767) and next prime (1152672769).

It can be written as a sum of positive squares in 2 ways, for example, as 339738624 + 812934144 = 18432^2 + 28512^2 .

It is not an unprimeable number, because it can be changed into a prime (1152672767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1077738 + ... + 1078806.

It is an arithmetic number, because the mean of its divisors is an integer number (16865233).

Almost surely, 2^1152672768 is an apocalyptic number.

1152672768 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 1152672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855175630).

1152672768 is an abundant number, since it is smaller than the sum of its proper divisors (2557678492).

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

1152672768 is a wasteful number, since it uses less digits than its factorization.

1152672768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1087 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 1152672768 is about 33951.0348590437. The cubic root of 1152672768 is about 1048.5005863677.

The spelling of 1152672768 in words is "one billion, one hundred fifty-two million, six hundred seventy-two thousand, seven hundred sixty-eight".