14468640 has 96 divisors (see below), whose sum is σ = 46702656. Its totient is φ = 3763200.

The previous prime is 14468627. The next prime is 14468659. The reversal of 14468640 is 4686441.

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

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20290 + ... + 20990.

It is an arithmetic number, because the mean of its divisors is an integer number (486486).

Almost surely, 2^14468640 is an apocalyptic number.

14468640 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 14468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351328).

14468640 is an abundant number, since it is smaller than the sum of its proper divisors (32234016).

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

14468640 is a wasteful number, since it uses less digits than its factorization.

14468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 14468640 is about 3803.7665543511. The cubic root of 14468640 is about 243.6740249738.

The spelling of 14468640 in words is "fourteen million, four hundred sixty-eight thousand, six hundred forty".