12800832 has 168 divisors, whose sum is σ = 40538400. Its totient is φ = 3548160.

The previous prime is 12800831. The next prime is 12800833. The reversal of 12800832 is 23800821.

It is an interprime number because it is at equal distance from previous prime (12800831) and next prime (12800833).

It is a super-2 number, since 2×12800832² = 327722599784448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441394 + ... + 441422.

It is an arithmetic number, because the mean of its divisors is an integer number (241300).

Almost surely, 2^12800832 is an apocalyptic number.

12800832 is a gapful number since it is divisible by the number (12) 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 12800832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269200).

12800832 is an abundant number, since it is smaller than the sum of its proper divisors (27737568).

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

12800832 is a wasteful number, since it uses less digits than its factorization.

12800832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12800832 is about 3577.8250376451. The cubic root of 12800832 is about 233.9264872446.

The spelling of 12800832 in words is "twelve million, eight hundred thousand, eight hundred thirty-two".