1153830960 has 160 divisors (see below), whose sum is σ = 3990548160. Its totient is φ = 306432000.

The previous prime is 1153830959. The next prime is 1153830967. The reversal of 1153830960 is 690383511.

It is a happy number.

1153830960 is a `hidden beast` number, since 1 + 1 + 538 + 30 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1153830967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606010 + ... + 607910.

It is an arithmetic number, because the mean of its divisors is an integer number (24940926).

Almost surely, 2^1153830960 is an apocalyptic number.

1153830960 is a gapful number since it is divisible by the number (10) 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 1153830960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995274080).

1153830960 is an abundant number, since it is smaller than the sum of its proper divisors (2836717200).

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

1153830960 is a wasteful number, since it uses less digits than its factorization.

1153830960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1153830960 is about 33968.0873762418. The cubic root of 1153830960 is about 1048.8516424885.

The spelling of 1153830960 in words is "one billion, one hundred fifty-three million, eight hundred thirty thousand, nine hundred sixty".