1295196864 has 224 divisors, whose sum is σ = 4014581760. Its totient is φ = 364953600.

The previous prime is 1295196841. The next prime is 1295196919. The reversal of 1295196864 is 4686915921.

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, 1469704 + ... + 1470584.

It is an arithmetic number, because the mean of its divisors is an integer number (17922240).

Almost surely, 2^1295196864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1295196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007290880).

1295196864 is an abundant number, since it is smaller than the sum of its proper divisors (2719384896).

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

1295196864 is a wasteful number, since it uses less digits than its factorization.

1295196864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 949 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 1295196864 is about 35988.8436046506. The cubic root of 1295196864 is about 1090.0470938887.

The spelling of 1295196864 in words is "one billion, two hundred ninety-five million, one hundred ninety-six thousand, eight hundred sixty-four".