61683200 has 120 divisors (see below), whose sum is σ = 157296480. Its totient is φ = 23961600.

The previous prime is 61683179. The next prime is 61683233. The reversal of 61683200 is 238616.

It is a self number, because there is not a number n which added to its sum of digits gives 61683200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780761 + ... + 780839.

It is an arithmetic number, because the mean of its divisors is an integer number (1310804).

Almost surely, 2^61683200 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 61683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78648240).

61683200 is an abundant number, since it is smaller than the sum of its proper divisors (95613280).

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

61683200 is an equidigital number, since it uses as much as digits as its factorization.

61683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 61683200 is about 7853.8652904159. The cubic root of 61683200 is about 395.1138912090.

The spelling of 61683200 in words is "sixty-one million, six hundred eighty-three thousand, two hundred".