61461200 has 60 divisors (see below), whose sum is σ = 155451360. Its totient is φ = 23287680.

The previous prime is 61461199. The next prime is 61461223. The reversal of 61461200 is 216416.

It is a happy number.

61461200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3557 + ... + 11643.

It is an arithmetic number, because the mean of its divisors is an integer number (2590856).

Almost surely, 2^61461200 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 61461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77725680).

61461200 is an abundant number, since it is smaller than the sum of its proper divisors (93990160).

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

61461200 is a wasteful number, since it uses less digits than its factorization.

61461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 61461200 is about 7839.7193827330. The cubic root of 61461200 is about 394.6393118266.

Adding to 61461200 its reverse (216416), we get a palindrome (61677616).

The spelling of 61461200 in words is "sixty-one million, four hundred sixty-one thousand, two hundred".