61607616 has 112 divisors (see below), whose sum is σ = 194486784. Its totient is φ = 16828416.

The previous prime is 61607603. The next prime is 61607617. The reversal of 61607616 is 61670616.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (61607617) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29916 + ... + 31908.

Almost surely, 2^61607616 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 61607616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97243392).

61607616 is an abundant number, since it is smaller than the sum of its proper divisors (132879168).

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

61607616 is a wasteful number, since it uses less digits than its factorization.

61607616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 61607616 is about 7849.0519172700. The cubic root of 61607616 is about 394.9524399288.

The spelling of 61607616 in words is "sixty-one million, six hundred seven thousand, six hundred sixteen".