66067400 has 96 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 22080000.

The previous prime is 66067399. The next prime is 66067411. The reversal of 66067400 is 476066.

66067400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 56825 + ... + 57975.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^66067400 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 66067400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

66067400 is an abundant number, since it is smaller than the sum of its proper divisors (113921080).

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

66067400 is a wasteful number, since it uses less digits than its factorization.

66067400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 66067400 is about 8128.1855293786. The cubic root of 66067400 is about 404.2615207041.

The spelling of 66067400 in words is "sixty-six million, sixty-seven thousand, four hundred".