61516200 has 192 divisors, whose sum is σ = 208647360. Its totient is φ = 14929920.

The previous prime is 61516193. The next prime is 61516201. The reversal of 61516200 is 261516.

It is a happy number.

61516200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61516201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377319 + ... + 377481.

It is an arithmetic number, because the mean of its divisors is an integer number (1086705).

Almost surely, 2^61516200 is an apocalyptic number.

61516200 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 61516200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104323680).

61516200 is an abundant number, since it is smaller than the sum of its proper divisors (147131160).

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

61516200 is a wasteful number, since it uses less digits than its factorization.

61516200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 61516200 is about 7843.2263769446. The cubic root of 61516200 is about 394.7569941525.

Adding to 61516200 its reverse (261516), we get a palindrome (61777716).

It can be divided in two parts, 61516 and 200, that added together give a palindrome (61716).

The spelling of 61516200 in words is "sixty-one million, five hundred sixteen thousand, two hundred".