1295892864 has 512 divisors, whose sum is σ = 4864665600. Its totient is φ = 330891264.

The previous prime is 1295892859. The next prime is 1295892893. The reversal of 1295892864 is 4682985921.

It is a happy number.

It is a super-2 number, since 2×1295892864² = 3358676629932244992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1295892864.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9459004 + ... + 9459140.

It is an arithmetic number, because the mean of its divisors is an integer number (9501300).

Almost surely, 2^1295892864 is an apocalyptic number.

1295892864 is a gapful number since it is divisible by the number (14) 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 1295892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432332800).

1295892864 is an abundant number, since it is smaller than the sum of its proper divisors (3568772736).

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

1295892864 is a wasteful number, since it uses less digits than its factorization.

1295892864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 1295892864 is about 35998.5119692467. The cubic root of 1295892864 is about 1090.2423118109.

The spelling of 1295892864 in words is "one billion, two hundred ninety-five million, eight hundred ninety-two thousand, eight hundred sixty-four".