12974832 has 120 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3838464.

The previous prime is 12974831. The next prime is 12974839. The reversal of 12974832 is 23847921.

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 (12974831) 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, 54169 + ... + 54407.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 2^12974832 is an apocalyptic number.

12974832 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 12974832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

12974832 is an abundant number, since it is smaller than the sum of its proper divisors (27647568).

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

12974832 is a wasteful number, since it uses less digits than its factorization.

12974832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 12974832 is about 3602.0594109481. The cubic root of 12974832 is about 234.9816312789.

The spelling of 12974832 in words is "twelve million, nine hundred seventy-four thousand, eight hundred thirty-two".