66867164 has 96 divisors (see below), whose sum is σ = 154291200. Its totient is φ = 25147584.

The previous prime is 66867149. The next prime is 66867167. The reversal of 66867164 is 46176866.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

Its product of digits (290304) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66867167) 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, 410147 + ... + 410309.

It is an arithmetic number, because the mean of its divisors is an integer number (1607200).

Almost surely, 2^66867164 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 66867164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77145600).

66867164 is an abundant number, since it is smaller than the sum of its proper divisors (87424036).

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

66867164 is a wasteful number, since it uses less digits than its factorization.

66867164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 66867164 is about 8177.2344958427. The cubic root of 66867164 is about 405.8862146455.

The spelling of 66867164 in words is "sixty-six million, eight hundred sixty-seven thousand, one hundred sixty-four".