61600616 has 48 divisors (see below), whose sum is σ = 145108320. Its totient is φ = 23997600.

The previous prime is 61600589. The next prime is 61600619.

61600616 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (61600619) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2231 + ... + 11321.

It is an arithmetic number, because the mean of its divisors is an integer number (3023090).

Almost surely, 2^61600616 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 61600616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72554160).

61600616 is an abundant number, since it is smaller than the sum of its proper divisors (83507704).

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

61600616 is a wasteful number, since it uses less digits than its factorization.

61600616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9126 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 61600616 is about 7848.6059908751. The cubic root of 61600616 is about 394.9374808920.

It can be divided in two parts, 61600 and 616, that multiplied together give a square (37945600 = 6160²).

The spelling of 61600616 in words is "sixty-one million, six hundred thousand, six hundred sixteen".