61839200 has 72 divisors (see below), whose sum is σ = 159880392. Its totient is φ = 23275520.

The previous prime is 61839199. The next prime is 61839209. The reversal of 61839200 is 293816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61839209) 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, 11327 + ... + 15873.

It is an arithmetic number, because the mean of its divisors is an integer number (2220561).

Almost surely, 2^61839200 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 61839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79940196).

61839200 is an abundant number, since it is smaller than the sum of its proper divisors (98041192).

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

61839200 is a wasteful number, since it uses less digits than its factorization.

61839200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 61839200 is about 7863.7904346441. The cubic root of 61839200 is about 395.4466986196.

The spelling of 61839200 in words is "sixty-one million, eight hundred thirty-nine thousand, two hundred".