61224400 has 60 divisors (see below), whose sum is σ = 147897900. Its totient is φ = 24355840.

The previous prime is 61224377. The next prime is 61224421. The reversal of 61224400 is 442216.

61224400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 18870336 + 42354064 = 4344^2 + 6508^2 .

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, 107316 + ... + 107884.

It is an arithmetic number, because the mean of its divisors is an integer number (2464965).

Almost surely, 2^61224400 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 61224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73948950).

61224400 is an abundant number, since it is smaller than the sum of its proper divisors (86673500).

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

61224400 is a wasteful number, since it uses less digits than its factorization.

61224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 61224400 is about 7824.6022263116. The cubic root of 61224400 is about 394.1318325104.

Adding to 61224400 its reverse (442216), we get a palindrome (61666616).

The spelling of 61224400 in words is "sixty-one million, two hundred twenty-four thousand, four hundred".