61317200 has 120 divisors (see below), whose sum is σ = 171596160. Its totient is φ = 20620800.

The previous prime is 61317169. The next prime is 61317203. The reversal of 61317200 is 271316.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61317203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 170621 + ... + 170979.

It is an arithmetic number, because the mean of its divisors is an integer number (1429968).

Almost surely, 2^61317200 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 61317200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85798080).

61317200 is an abundant number, since it is smaller than the sum of its proper divisors (110278960).

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

61317200 is a wasteful number, since it uses less digits than its factorization.

61317200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 61317200 is about 7830.5299948343. The cubic root of 61317200 is about 394.3308651948.

Adding to 61317200 its reverse (271316), we get a palindrome (61588516).

It can be divided in two parts, 6131 and 7200, that added together give a palindrome (13331).

The spelling of 61317200 in words is "sixty-one million, three hundred seventeen thousand, two hundred".