61616016 has 120 divisors (see below), whose sum is σ = 215027904. Its totient is φ = 16001280.

The previous prime is 61615999. The next prime is 61616017. The reversal of 61616016 is 61061616.

61616016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61616017) 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 23 ways as a sum of consecutive naturals, for example, 8310 + ... + 13866.

Almost surely, 2^61616016 is an apocalyptic number.

61616016 is a gapful number since it is divisible by the number (66) 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 61616016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107513952).

61616016 is an abundant number, since it is smaller than the sum of its proper divisors (153411888).

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

61616016 is a wasteful number, since it uses less digits than its factorization.

61616016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61616016 is about 7849.5869955049. The cubic root of 61616016 is about 394.9703892774.

The spelling of 61616016 in words is "sixty-one million, six hundred sixteen thousand, sixteen".