1153336968 has 160 divisors (see below), whose sum is σ = 3710266560. Its totient is φ = 327888000.

The previous prime is 1153336963. The next prime is 1153336973. The reversal of 1153336968 is 8696333511.

It is an interprime number because it is at equal distance from previous prime (1153336963) and next prime (1153336973).

It is not an unprimeable number, because it can be changed into a prime (1153336963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1138030 + ... + 1139042.

It is an arithmetic number, because the mean of its divisors is an integer number (23189166).

Almost surely, 2^1153336968 is an apocalyptic number.

1153336968 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 1153336968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855133280).

1153336968 is an abundant number, since it is smaller than the sum of its proper divisors (2556929592).

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

1153336968 is a wasteful number, since it uses less digits than its factorization.

1153336968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1276 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 1153336968 is about 33960.8151845623. The cubic root of 1153336968 is about 1048.7019387919.

The spelling of 1153336968 in words is "one billion, one hundred fifty-three million, three hundred thirty-six thousand, nine hundred sixty-eight".