61544064 has 64 divisors (see below), whose sum is σ = 164334240. Its totient is φ = 20407296.

The previous prime is 61544053. The next prime is 61544089. The reversal of 61544064 is 46044516.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112239 + ... + 112785.

Almost surely, 2^61544064 is an apocalyptic number.

61544064 is a gapful number since it is divisible by the number (64) 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 61544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82167120).

61544064 is an abundant number, since it is smaller than the sum of its proper divisors (102790176).

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

61544064 is a wasteful number, since it uses less digits than its factorization.

61544064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 61544064 is about 7845.0024856593. The cubic root of 61544064 is about 394.8165873899.

The spelling of 61544064 in words is "sixty-one million, five hundred forty-four thousand, sixty-four".