14405664 has 192 divisors, whose sum is σ = 49787136. Its totient is φ = 3538944.

The previous prime is 14405627. The next prime is 14405689. The reversal of 14405664 is 46650441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148464 + ... + 148560.

It is an arithmetic number, because the mean of its divisors is an integer number (259308).

Almost surely, 2^14405664 is an apocalyptic number.

14405664 is a gapful number since it is divisible by the number (14) 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 14405664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24893568).

14405664 is an abundant number, since it is smaller than the sum of its proper divisors (35381472).

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

14405664 is a wasteful number, since it uses less digits than its factorization.

14405664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 14405664 is about 3795.4794163584. The cubic root of 14405664 is about 243.3199734122.

The spelling of 14405664 in words is "fourteen million, four hundred five thousand, six hundred sixty-four".