14964560 has 40 divisors (see below), whose sum is σ = 37471560. Its totient is φ = 5524992.

The previous prime is 14964557. The next prime is 14964563. The reversal of 14964560 is 6546941.

It is an interprime number because it is at equal distance from previous prime (14964557) and next prime (14964563).

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 14961424 = 56^2 + 3868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 14964560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14964563) 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 7 ways as a sum of consecutive naturals, for example, 6155 + ... + 8234.

It is an arithmetic number, because the mean of its divisors is an integer number (936789).

Almost surely, 2^14964560 is an apocalyptic number.

14964560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14964560 is an abundant number, since it is smaller than the sum of its proper divisors (22507000).

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

14964560 is a wasteful number, since it uses less digits than its factorization.

14964560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14415 (or 14409 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 14964560 is about 3868.4053562159. The cubic root of 14964560 is about 246.4268263647.

The spelling of 14964560 in words is "fourteen million, nine hundred sixty-four thousand, five hundred sixty".