14904864 has 96 divisors (see below), whose sum is σ = 46851840. Its totient is φ = 4582656.

The previous prime is 14904863. The next prime is 14904881. The reversal of 14904864 is 46840941.

It is a happy number.

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 (36) coincides with the sum of the digits of its prime factors.

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 (14904863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10569 + ... + 11895.

It is an arithmetic number, because the mean of its divisors is an integer number (488040).

Almost surely, 2^14904864 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 14904864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23425920).

14904864 is an abundant number, since it is smaller than the sum of its proper divisors (31946976).

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

14904864 is a wasteful number, since it uses less digits than its factorization.

14904864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14904864 is about 3860.6818050702. The cubic root of 14904864 is about 246.0987111290.

The spelling of 14904864 in words is "fourteen million, nine hundred four thousand, eight hundred sixty-four".