12940416 has 96 divisors (see below), whose sum is σ = 38188800. Its totient is φ = 4204032.

The previous prime is 12940393. The next prime is 12940429. The reversal of 12940416 is 61404921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 12940416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54025 + ... + 54263.

It is an arithmetic number, because the mean of its divisors is an integer number (397800).

Almost surely, 2^12940416 is an apocalyptic number.

12940416 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 12940416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

12940416 is an abundant number, since it is smaller than the sum of its proper divisors (25248384).

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

12940416 is a wasteful number, since it uses less digits than its factorization.

12940416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12940416 is about 3597.2789716673. The cubic root of 12940416 is about 234.7736828240.

The spelling of 12940416 in words is "twelve million, nine hundred forty thousand, four hundred sixteen".