66201600 has 144 divisors (see below), whose sum is σ = 219360960. Its totient is φ = 17612800.

The previous prime is 66201559. The next prime is 66201601. The reversal of 66201600 is 610266.

It is not an unprimeable number, because it can be changed into a prime (66201601) 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, 153385 + ... + 153815.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^66201600 is an apocalyptic number.

66201600 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 66201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

66201600 is an abundant number, since it is smaller than the sum of its proper divisors (153159360).

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

66201600 is a wasteful number, since it uses less digits than its factorization.

66201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 66201600 is about 8136.4365664583. The cubic root of 66201600 is about 404.5350555299.

Adding to 66201600 its reverse (610266), we get a palindrome (66811866).

The spelling of 66201600 in words is "sixty-six million, two hundred one thousand, six hundred".