1295365968 has 240 divisors, whose sum is σ = 4094737920. Its totient is φ = 379524096.

The previous prime is 1295365937. The next prime is 1295365979. The reversal of 1295365968 is 8695635921.

It is a happy number.

1295365968 is a `hidden beast` number, since 12 + 9 + 5 + 36 + 596 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5808705 + ... + 5808927.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2^1295365968 is an apocalyptic number.

1295365968 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 1295365968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

1295365968 is an abundant number, since it is smaller than the sum of its proper divisors (2799371952).

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

1295365968 is a wasteful number, since it uses less digits than its factorization.

1295365968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 1295365968 is about 35991.1929227137. The cubic root of 1295365968 is about 1090.0945315427.

The spelling of 1295365968 in words is "one billion, two hundred ninety-five million, three hundred sixty-five thousand, nine hundred sixty-eight".