61666200 has 72 divisors (see below), whose sum is σ = 207101700. Its totient is φ = 16443840.

The previous prime is 61666159. The next prime is 61666201. The reversal of 61666200 is 266616.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61666201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15330 + ... + 18929.

Almost surely, 2^61666200 is an apocalyptic number.

61666200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61666200 is an abundant number, since it is smaller than the sum of its proper divisors (145435500).

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

61666200 is a wasteful number, since it uses less digits than its factorization.

61666200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34281 (or 34269 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 61666200 is about 7852.7829461918. The cubic root of 61666200 is about 395.0775898427.

The spelling of 61666200 in words is "sixty-one million, six hundred sixty-six thousand, two hundred".