61564616 has 64 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 27648000.

The previous prime is 61564609. The next prime is 61564619. The reversal of 61564616 is 61646516.

It can be written as a sum of positive squares in 8 ways, for example, as 4900 + 61559716 = 70^2 + 7846^2 .

It is not an unprimeable number, because it can be changed into a prime (61564619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340046 + ... + 340226.

Almost surely, 2^61564616 is an apocalyptic number.

It is an amenable number.

61564616 is an abundant number, since it is smaller than the sum of its proper divisors (66395944).

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

61564616 is a wasteful number, since it uses less digits than its factorization.

61564616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 61564616 is about 7846.3122548112. The cubic root of 61564616 is about 394.8605307963.

The spelling of 61564616 in words is "sixty-one million, five hundred sixty-four thousand, six hundred sixteen".