66693600 has 216 divisors, whose sum is σ = 240687720. Its totient is φ = 17372160.

The previous prime is 66693587. The next prime is 66693607. The reversal of 66693600 is 639666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66693607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 424722 + ... + 424878.

It is an arithmetic number, because the mean of its divisors is an integer number (1114295).

Almost surely, 2^66693600 is an apocalyptic number.

66693600 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 66693600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120343860).

66693600 is an abundant number, since it is smaller than the sum of its proper divisors (173994120).

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

66693600 is a wasteful number, since it uses less digits than its factorization.

66693600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 66693600 is about 8166.6149658227. The cubic root of 66693600 is about 405.5347303444.

The spelling of 66693600 in words is "sixty-six million, six hundred ninety-three thousand, six hundred".