61444000 has 48 divisors (see below), whose sum is σ = 150977736. Its totient is φ = 24576000.

The previous prime is 61443989. The next prime is 61444007. The reversal of 61444000 is 44416.

61444000 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 4 ways, for example, as 26255376 + 35188624 = 5124^2 + 5932^2 .

It is not an unprimeable number, because it can be changed into a prime (61444007) 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 7 ways as a sum of consecutive naturals, for example, 3681 + ... + 11680.

Almost surely, 2^61444000 is an apocalyptic number.

It is an amenable number.

61444000 is an abundant number, since it is smaller than the sum of its proper divisors (89533736).

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

61444000 is a wasteful number, since it uses less digits than its factorization.

61444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15386 (or 15368 counting only the distinct ones).

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

The square root of 61444000 is about 7838.6223279349. The cubic root of 61444000 is about 394.6024949434.

Adding to 61444000 its reverse (44416), we get a palindrome (61488416).

The spelling of 61444000 in words is "sixty-one million, four hundred forty-four thousand".