61045344 has 72 divisors (see below), whose sum is σ = 175069440. Its totient is φ = 20176128.

The previous prime is 61045343. The next prime is 61045357. The reversal of 61045344 is 44354016.

61045344 is a `hidden beast` number, since 610 + 4 + 5 + 3 + 44 = 666.

61045344 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61045343) 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 11 ways as a sum of consecutive naturals, for example, 35742 + ... + 37410.

It is an arithmetic number, because the mean of its divisors is an integer number (2431520).

Almost surely, 2^61045344 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 61045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87534720).

61045344 is an abundant number, since it is smaller than the sum of its proper divisors (114024096).

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

61045344 is a wasteful number, since it uses less digits than its factorization.

61045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 61045344 is about 7813.1519887943. The cubic root of 61045344 is about 393.7472332383.

It can be divided in two parts, 610 and 45344, that added together give a palindrome (45954).

The spelling of 61045344 in words is "sixty-one million, forty-five thousand, three hundred forty-four".