12874680 has 256 divisors, whose sum is σ = 53222400. Its totient is φ = 2695680.

The previous prime is 12874669. The next prime is 12874681. The reversal of 12874680 is 8647821.

12874680 = 361² + 362² + ... + 440².

12874680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12874681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98215 + ... + 98345.

It is an arithmetic number, because the mean of its divisors is an integer number (207900).

Almost surely, 2^12874680 is an apocalyptic number.

12874680 is a gapful number since it is divisible by the number (10) 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 12874680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26611200).

12874680 is an abundant number, since it is smaller than the sum of its proper divisors (40347720).

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

12874680 is a wasteful number, since it uses less digits than its factorization.

12874680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12874680 is about 3588.1304324118. The cubic root of 12874680 is about 234.3754655991.

The spelling of 12874680 in words is "twelve million, eight hundred seventy-four thousand, six hundred eighty".