66629200 has 120 divisors (see below), whose sum is σ = 184050720. Its totient is φ = 22924800.

The previous prime is 66629117. The next prime is 66629243. The reversal of 66629200 is 292666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83202 + ... + 83998.

It is an arithmetic number, because the mean of its divisors is an integer number (1533756).

Almost surely, 2^66629200 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 66629200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92025360).

66629200 is an abundant number, since it is smaller than the sum of its proper divisors (117421520).

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

66629200 is a wasteful number, since it uses less digits than its factorization.

66629200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 66629200 is about 8162.6711314373. The cubic root of 66629200 is about 405.4041588590.

The spelling of 66629200 in words is "sixty-six million, six hundred twenty-nine thousand, two hundred".