12892840 has 32 divisors (see below), whose sum is σ = 29207880. Its totient is φ = 5121792.

The previous prime is 12892837. The next prime is 12892843. The reversal of 12892840 is 4829821.

It is an interprime number because it is at equal distance from previous prime (12892837) and next prime (12892843).

It can be written as a sum of positive squares in 4 ways, for example, as 9229444 + 3663396 = 3038^2 + 1914^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12892796 and 12892805.

It is not an unprimeable number, because it can be changed into a prime (12892843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5254 + ... + 7306.

Almost surely, 2^12892840 is an apocalyptic number.

12892840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12892840 is an abundant number, since it is smaller than the sum of its proper divisors (16315040).

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

12892840 is a wasteful number, since it uses less digits than its factorization.

12892840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 12892840 is about 3590.6601064428. The cubic root of 12892840 is about 234.4856109604.

The spelling of 12892840 in words is "twelve million, eight hundred ninety-two thousand, eight hundred forty".