12874176 has 168 divisors, whose sum is σ = 43956224. Its totient is φ = 3525120.

The previous prime is 12874171. The next prime is 12874201. The reversal of 12874176 is 67147821.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 12874176 = 110³ + 226³ = 184³ + 188³.

It is a self number, because there is not a number n which added to its sum of digits gives 12874176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12874171) 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, 124941 + ... + 125043.

Almost surely, 2^12874176 is an apocalyptic number.

12874176 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 12874176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21978112).

12874176 is an abundant number, since it is smaller than the sum of its proper divisors (31082048).

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

12874176 is a wasteful number, since it uses less digits than its factorization.

12874176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 12874176 is about 3588.0602001639. The cubic root of 12874176 is about 234.3724072247.

The spelling of 12874176 in words is "twelve million, eight hundred seventy-four thousand, one hundred seventy-six".