12937040 has 80 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 4832256.

The previous prime is 12937033. The next prime is 12937061. The reversal of 12937040 is 4073921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 145316 + ... + 145404.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^12937040 is an apocalyptic number.

12937040 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 12937040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

12937040 is an abundant number, since it is smaller than the sum of its proper divisors (19203760).

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

12937040 is a wasteful number, since it uses less digits than its factorization.

12937040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 12937040 is about 3596.8096974958. The cubic root of 12937040 is about 234.7532644982.

The spelling of 12937040 in words is "twelve million, nine hundred thirty-seven thousand, forty".