61244064 has 144 divisors (see below), whose sum is σ = 210869568. Its totient is φ = 16459776.

The previous prime is 61244063. The next prime is 61244093. The reversal of 61244064 is 46044216.

61244064 is a `hidden beast` number, since 612 + 4 + 40 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (61244063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33379 + ... + 35165.

It is an arithmetic number, because the mean of its divisors is an integer number (1464372).

Almost surely, 2^61244064 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 61244064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105434784).

61244064 is an abundant number, since it is smaller than the sum of its proper divisors (149625504).

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

61244064 is a wasteful number, since it uses less digits than its factorization.

61244064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 61244064 is about 7825.8586749315. The cubic root of 61244064 is about 394.1740236345.

The spelling of 61244064 in words is "sixty-one million, two hundred forty-four thousand, sixty-four".