61334064 has 80 divisors (see below), whose sum is σ = 192071040. Its totient is φ = 18584640.

The previous prime is 61334059. The next prime is 61334093. The reversal of 61334064 is 46043316.

61334064 is a `hidden beast` number, since 613 + 3 + 40 + 6 + 4 = 666.

61334064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 1702 + ... + 11205.

It is an arithmetic number, because the mean of its divisors is an integer number (2400888).

Almost surely, 2^61334064 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 61334064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96035520).

61334064 is an abundant number, since it is smaller than the sum of its proper divisors (130736976).

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

61334064 is a wasteful number, since it uses less digits than its factorization.

61334064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12935 (or 12923 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 61334064 is about 7831.6067316994. The cubic root of 61334064 is about 394.3670126714.

The spelling of 61334064 in words is "sixty-one million, three hundred thirty-four thousand, sixty-four".