14884064 has 48 divisors (see below), whose sum is σ = 32443488. Its totient is φ = 6676992.

The previous prime is 14884003. The next prime is 14884073. The reversal of 14884064 is 46048841.

It is a super-2 number, since 2×14884064² = 443070722312192, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14909 + ... + 15875.

It is an arithmetic number, because the mean of its divisors is an integer number (675906).

Almost surely, 2^14884064 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 14884064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221744).

14884064 is an abundant number, since it is smaller than the sum of its proper divisors (17559424).

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

14884064 is a wasteful number, since it uses less digits than its factorization.

14884064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 14884064 is about 3857.9870398953. The cubic root of 14884064 is about 245.9841794748.

The spelling of 14884064 in words is "fourteen million, eight hundred eighty-four thousand, sixty-four".