14968320 has 80 divisors (see below), whose sum is σ = 47876400. Its totient is φ = 3989504.

The previous prime is 14968309. The next prime is 14968339. The reversal of 14968320 is 2386941.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6706 + ... + 8654.

It is an arithmetic number, because the mean of its divisors is an integer number (598455).

Almost surely, 2^14968320 is an apocalyptic number.

14968320 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 14968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23938200).

14968320 is an abundant number, since it is smaller than the sum of its proper divisors (32908080).

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

14968320 is an equidigital number, since it uses as much as digits as its factorization.

14968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 14968320 is about 3868.8913140588. The cubic root of 14968320 is about 246.4474637300.

The spelling of 14968320 in words is "fourteen million, nine hundred sixty-eight thousand, three hundred twenty".