66279400 has 96 divisors (see below), whose sum is σ = 171953280. Its totient is φ = 23552000.

The previous prime is 66279397. The next prime is 66279403. The reversal of 66279400 is 497266.

It is an interprime number because it is at equal distance from previous prime (66279397) and next prime (66279403).

It is not an unprimeable number, because it can be changed into a prime (66279403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103080 + ... + 103720.

It is an arithmetic number, because the mean of its divisors is an integer number (1791180).

Almost surely, 2^66279400 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 66279400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85976640).

66279400 is an abundant number, since it is smaller than the sum of its proper divisors (105673880).

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

66279400 is a wasteful number, since it uses less digits than its factorization.

66279400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 66279400 is about 8141.2161253710. The cubic root of 66279400 is about 404.6934631133.

The spelling of 66279400 in words is "sixty-six million, two hundred seventy-nine thousand, four hundred".