14706864 has 120 divisors (see below), whose sum is σ = 43872192. Its totient is φ = 4592640.

The previous prime is 14706863. The next prime is 14706883. The reversal of 14706864 is 46860741.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14706863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277462 + ... + 277514.

Almost surely, 2^14706864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14706864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096).

14706864 is an abundant number, since it is smaller than the sum of its proper divisors (29165328).

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

14706864 is a wasteful number, since it uses less digits than its factorization.

14706864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 14706864 is about 3834.9529332183. The cubic root of 14706864 is about 245.0041037769.

The spelling of 14706864 in words is "fourteen million, seven hundred six thousand, eight hundred sixty-four".