14516064 has 96 divisors (see below), whose sum is σ = 43273440. Its totient is φ = 4732416.

The previous prime is 14516039. The next prime is 14516071. The reversal of 14516064 is 46061541.

14516064 is a `hidden beast` number, since 1 + 4 + 51 + 606 + 4 = 666.

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

It is a super-2 number, since 2×14516064² = 421432228104192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 45634 + ... + 45950.

It is an arithmetic number, because the mean of its divisors is an integer number (450765).

Almost surely, 2^14516064 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 14516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21636720).

14516064 is an abundant number, since it is smaller than the sum of its proper divisors (28757376).

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

14516064 is a wasteful number, since it uses less digits than its factorization.

14516064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14516064 is about 3809.9952755876. The cubic root of 14516064 is about 243.9399655222.

The spelling of 14516064 in words is "fourteen million, five hundred sixteen thousand, sixty-four".