61244400 has 240 divisors, whose sum is σ = 234699264. Its totient is φ = 13347840.

The previous prime is 61244383. The next prime is 61244401. The reversal of 61244400 is 444216.

61244400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61244401) 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, 193042 + ... + 193358.

Almost surely, 2^61244400 is an apocalyptic number.

61244400 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 61244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117349632).

61244400 is an abundant number, since it is smaller than the sum of its proper divisors (173454864).

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

61244400 is a wasteful number, since it uses less digits than its factorization.

61244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 61244400 is about 7825.8801421949. The cubic root of 61244400 is about 394.1747444784.

Adding to 61244400 its reverse (444216), we get a palindrome (61688616).

The spelling of 61244400 in words is "sixty-one million, two hundred forty-four thousand, four hundred".