66013200 has 180 divisors, whose sum is σ = 250059888. Its totient is φ = 15993600.

The previous prime is 66013187. The next prime is 66013219. The reversal of 66013200 is 231066.

It is a happy number.

66013200 is a `hidden beast` number, since 660 + 1 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38767 + ... + 40433.

Almost surely, 2^66013200 is an apocalyptic number.

66013200 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 66013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125029944).

66013200 is an abundant number, since it is smaller than the sum of its proper divisors (184046688).

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

66013200 is a wasteful number, since it uses less digits than its factorization.

66013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 66013200 is about 8124.8507678603. The cubic root of 66013200 is about 404.1509418664.

Adding to 66013200 its reverse (231066), we get a palindrome (66244266).

It can be divided in two parts, 6601 and 3200, that added together give a square (9801 = 99²).

The spelling of 66013200 in words is "sixty-six million, thirteen thousand, two hundred".