12859296 has 96 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3978240.

The previous prime is 12859289. The next prime is 12859303. The reversal of 12859296 is 69295821.

12859296 = 629² + 630² + ... + 659².

It is an interprime number because it is at equal distance from previous prime (12859289) and next prime (12859303).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12859296² = 330722987231232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86230 + ... + 86378.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^12859296 is an apocalyptic number.

12859296 is a gapful number since it is divisible by the number (16) 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 12859296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

12859296 is an abundant number, since it is smaller than the sum of its proper divisors (23428704).

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

12859296 is a wasteful number, since it uses less digits than its factorization.

12859296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 12859296 is about 3585.9860568608. The cubic root of 12859296 is about 234.2820763719.

The spelling of 12859296 in words is "twelve million, eight hundred fifty-nine thousand, two hundred ninety-six".