1154758968 has 96 divisors (see below), whose sum is σ = 3458697840. Its totient is φ = 345116160.

The previous prime is 1154758961. The next prime is 1154758987. The reversal of 1154758968 is 8698574511.

It is a happy number.

1154758968 is a `hidden beast` number, since 1 + 1 + 54 + 7 + 589 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1154758961) 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 23 ways as a sum of consecutive naturals, for example, 47830 + ... + 67802.

Almost surely, 2^1154758968 is an apocalyptic number.

1154758968 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 1154758968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729348920).

1154758968 is an abundant number, since it is smaller than the sum of its proper divisors (2303938872).

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

1154758968 is a wasteful number, since it uses less digits than its factorization.

1154758968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20069 (or 20062 counting only the distinct ones).

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

The square root of 1154758968 is about 33981.7446285502. The cubic root of 1154758968 is about 1049.1327587344.

The spelling of 1154758968 in words is "one billion, one hundred fifty-four million, seven hundred fifty-eight thousand, nine hundred sixty-eight".