14628966 has 48 divisors (see below), whose sum is σ = 33445440. Its totient is φ = 4230160.

The previous prime is 14628961. The next prime is 14628967. The reversal of 14628966 is 66982641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14628961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34705 + ... + 35123.

It is an arithmetic number, because the mean of its divisors is an integer number (696780).

Almost surely, 2^14628966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14628966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722720).

14628966 is an abundant number, since it is smaller than the sum of its proper divisors (18816474).

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

14628966 is a wasteful number, since it uses less digits than its factorization.

14628966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 458 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 14628966 is about 3824.7831311069. The cubic root of 14628966 is about 244.5707658545.

The spelling of 14628966 in words is "fourteen million, six hundred twenty-eight thousand, nine hundred sixty-six".