66393600 has 480 divisors, whose sum is σ = 284148480. Its totient is φ = 13271040.

The previous prime is 66393553. The next prime is 66393601. The reversal of 66393600 is 639366.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×66393600² = 8816220241920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66393601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3494391 + ... + 3494409.

It is an arithmetic number, because the mean of its divisors is an integer number (591976).

Almost surely, 2^66393600 is an apocalyptic number.

66393600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142074240).

66393600 is an abundant number, since it is smaller than the sum of its proper divisors (217754880).

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

66393600 is a wasteful number, since it uses less digits than its factorization.

66393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 66393600 is about 8148.2268009672. The cubic root of 66393600 is about 404.9257599021.

The spelling of 66393600 in words is "sixty-six million, three hundred ninety-three thousand, six hundred".