14690816 has 40 divisors (see below), whose sum is σ = 33554400. Its totient is φ = 6294528.

The previous prime is 14690789. The next prime is 14690827. The reversal of 14690816 is 61809641.

14690816 = 125³ + 126³ + ... + 131³.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1535 + ... + 5633.

It is an arithmetic number, because the mean of its divisors is an integer number (838860).

Almost surely, 2^14690816 is an apocalyptic number.

14690816 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 14690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777200).

14690816 is an abundant number, since it is smaller than the sum of its proper divisors (18863584).

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

14690816 is an frugal number, since it uses more digits than its factorization.

14690816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 14690816 is about 3832.8600287514. The cubic root of 14690816 is about 244.9149559058.

The spelling of 14690816 in words is "fourteen million, six hundred ninety thousand, eight hundred sixteen".