14628564 has 18 divisors (see below), whose sum is σ = 36977850. Its totient is φ = 4876176.

The previous prime is 14628541. The next prime is 14628569. The reversal of 14628564 is 46582641.

It can be written as a sum of positive squares in only one way, i.e., 11168964 + 3459600 = 3342^2 + 1860^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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), and also a Moran number because the ratio is a prime number: 406349 = 14628564 / (1 + 4 + 6 + 2 + 8 + 5 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14628569) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 203139 + ... + 203210.

It is an arithmetic number, because the mean of its divisors is an integer number (2054325).

Almost surely, 2^14628564 is an apocalyptic number.

It is an amenable number.

14628564 is an abundant number, since it is smaller than the sum of its proper divisors (22349286).

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

14628564 is a wasteful number, since it uses less digits than its factorization.

14628564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406359 (or 406354 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 14628564 is about 3824.7305787467. The cubic root of 14628564 is about 244.5685255880.

The spelling of 14628564 in words is "fourteen million, six hundred twenty-eight thousand, five hundred sixty-four".