1154875968 has 224 divisors, whose sum is σ = 3545758720. Its totient is φ = 372874752.

The previous prime is 1154875937. The next prime is 1154875979. The reversal of 1154875968 is 8695784511.

It is a happy number.

1154875968 is a `hidden beast` number, since 1 + 1 + 5 + 48 + 7 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5178705 + ... + 5178927.

It is an arithmetic number, because the mean of its divisors is an integer number (15829280).

Almost surely, 2^1154875968 is an apocalyptic number.

1154875968 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 1154875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772879360).

1154875968 is an abundant number, since it is smaller than the sum of its proper divisors (2390882752).

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

1154875968 is an frugal number, since it uses more digits than its factorization.

1154875968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 265 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The square root of 1154875968 is about 33983.4660975010. The cubic root of 1154875968 is about 1049.1681901940.

The spelling of 1154875968 in words is "one billion, one hundred fifty-four million, eight hundred seventy-five thousand, nine hundred sixty-eight".