1140295968 has 168 divisors, whose sum is σ = 3847290048. Its totient is φ = 325752192.

The previous prime is 1140295951. The next prime is 1140295987. The reversal of 1140295968 is 8695920411.

1140295968 is a `hidden beast` number, since 11 + 40 + 2 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 159805 + ... + 166787.

It is an arithmetic number, because the mean of its divisors is an integer number (22900536).

Almost surely, 2^1140295968 is an apocalyptic number.

1140295968 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 1140295968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923645024).

1140295968 is an abundant number, since it is smaller than the sum of its proper divisors (2706994080).

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

1140295968 is an frugal number, since it uses more digits than its factorization.

1140295968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1140295968 is about 33768.2686556477. The cubic root of 1140295968 is about 1044.7343228518.

The spelling of 1140295968 in words is "one billion, one hundred forty million, two hundred ninety-five thousand, nine hundred sixty-eight".