66166400 has 192 divisors, whose sum is σ = 182131200. Its totient is φ = 23654400.

The previous prime is 66166393. The next prime is 66166409. The reversal of 66166400 is 466166.

66166400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66166409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2134385 + ... + 2134415.

It is an arithmetic number, because the mean of its divisors is an integer number (948600).

Almost surely, 2^66166400 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 66166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

66166400 is an abundant number, since it is smaller than the sum of its proper divisors (115964800).

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

66166400 is a wasteful number, since it uses less digits than its factorization.

66166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 66166400 is about 8134.2731697429. The cubic root of 66166400 is about 404.4633444812.

It can be divided in two parts, 66166 and 400, that added together give a palindrome (66566).

The spelling of 66166400 in words is "sixty-six million, one hundred sixty-six thousand, four hundred".