1295393664 has 64 divisors (see below), whose sum is σ = 3446784000. Its totient is φ = 431058432.

The previous prime is 1295393657. The next prime is 1295393669. The reversal of 1295393664 is 4663935921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295393669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250497 + ... + 255615.

It is an arithmetic number, because the mean of its divisors is an integer number (53856000).

Almost surely, 2^1295393664 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 1295393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723392000).

1295393664 is an abundant number, since it is smaller than the sum of its proper divisors (2151390336).

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

1295393664 is an equidigital number, since it uses as much as digits as its factorization.

1295393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5795 (or 5783 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 48.

The square root of 1295393664 is about 35991.5776814521. The cubic root of 1295393664 is about 1090.1023005294.

The spelling of 1295393664 in words is "one billion, two hundred ninety-five million, three hundred ninety-three thousand, six hundred sixty-four".