14794080 has 288 divisors, whose sum is σ = 58949856. Its totient is φ = 3096576.

The previous prime is 14794033. The next prime is 14794111. The reversal of 14794080 is 8049741.

14794080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

14794080 is a nontrivial binomial coefficient, being equal to C(5440, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399822 + ... + 399858.

It is an arithmetic number, because the mean of its divisors is an integer number (204687).

Almost surely, 2^14794080 is an apocalyptic number.

14794080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14794080 is the 5439-th triangular number and also the 2720-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14794080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29474928).

14794080 is an abundant number, since it is smaller than the sum of its proper divisors (44155776).

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

14794080 is a wasteful number, since it uses less digits than its factorization.

14794080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 14794080 is about 3846.3073200149. The cubic root of 14794080 is about 245.4874648453.

The spelling of 14794080 in words is "fourteen million, seven hundred ninety-four thousand, eighty".