66168400 has 60 divisors (see below), whose sum is σ = 162708832. Its totient is φ = 25845120.

The previous prime is 66168373. The next prime is 66168409. The reversal of 66168400 is 486166.

66168400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66168409) 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 11 ways as a sum of consecutive naturals, for example, 15277 + ... + 19123.

Almost surely, 2^66168400 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 66168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81354416).

66168400 is an abundant number, since it is smaller than the sum of its proper divisors (96540432).

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

66168400 is a wasteful number, since it uses less digits than its factorization.

66168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 66168400 is about 8134.3961054279. The cubic root of 66168400 is about 404.4674196540.

The spelling of 66168400 in words is "sixty-six million, one hundred sixty-eight thousand, four hundred".