14966056 has 64 divisors (see below), whose sum is σ = 34145280. Its totient is φ = 6013440.

The previous prime is 14966051. The next prime is 14966089. The reversal of 14966056 is 65066941.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (14966051) 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, 64116 + ... + 64348.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 2^14966056 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 14966056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072640).

14966056 is an abundant number, since it is smaller than the sum of its proper divisors (19179224).

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

14966056 is a wasteful number, since it uses less digits than its factorization.

14966056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 14966056 is about 3868.5987127124. The cubic root of 14966056 is about 246.4350378155.

The spelling of 14966056 in words is "fourteen million, nine hundred sixty-six thousand, fifty-six".