14642166 has 64 divisors (see below), whose sum is σ = 37449216. Its totient is φ = 3705600.

The previous prime is 14642119. The next prime is 14642167. The reversal of 14642166 is 66124641.

14642166 = T₁₆₅ + T₁₆₆ + ... + T₄₅₁.

14642166 is a nontrivial binomial coefficient, being equal to C(5412, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14642167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18556 + ... + 19328.

It is an arithmetic number, because the mean of its divisors is an integer number (585144).

Almost surely, 2^14642166 is an apocalyptic number.

14642166 is the 5411-st triangular number and also the 2706-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14642166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18724608).

14642166 is an abundant number, since it is smaller than the sum of its proper divisors (22807050).

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

14642166 is a wasteful number, since it uses less digits than its factorization.

14642166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837.

The product of its digits is 6912, while the sum is 30.

The square root of 14642166 is about 3826.5083300576. The cubic root of 14642166 is about 244.6443040572.

It can be divided in two parts, 1464216 and 6, that multiplied together give a square (8785296 = 2964²).

The spelling of 14642166 in words is "fourteen million, six hundred forty-two thousand, one hundred sixty-six".