66505200 has 120 divisors (see below), whose sum is σ = 215002608. Its totient is φ = 17571840.

The previous prime is 66505181. The next prime is 66505217. The reversal of 66505200 is 250566.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 188224 + ... + 188576.

Almost surely, 2^66505200 is an apocalyptic number.

66505200 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 66505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107501304).

66505200 is an abundant number, since it is smaller than the sum of its proper divisors (148497408).

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

66505200 is a wasteful number, since it uses less digits than its factorization.

66505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 66505200 is about 8155.0720413740. The cubic root of 66505200 is about 405.1525107679.

Adding to 66505200 its reverse (250566), we get a palindrome (66755766).

The spelling of 66505200 in words is "sixty-six million, five hundred five thousand, two hundred".