66623200 has 72 divisors (see below), whose sum is σ = 185894352. Its totient is φ = 22840320.

The previous prime is 66623197. The next prime is 66623201. The reversal of 66623200 is 232666.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66623201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349 + ... + 11548.

It is an arithmetic number, because the mean of its divisors is an integer number (2581866).

Almost surely, 2^66623200 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 66623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92947176).

66623200 is an abundant number, since it is smaller than the sum of its proper divisors (119271152).

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

66623200 is a wasteful number, since it uses less digits than its factorization.

66623200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11924 (or 11911 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 66623200 is about 8162.3035964120. The cubic root of 66623200 is about 405.3919895300.

Adding to 66623200 its reverse (232666), we get a palindrome (66855866).

The spelling of 66623200 in words is "sixty-six million, six hundred twenty-three thousand, two hundred".