61644616 has 64 divisors (see below), whose sum is σ = 132710400. Its totient is φ = 26587200.

The previous prime is 61644613. The next prime is 61644617.

61644616 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (61644613) 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, 160761 + ... + 161143.

It is an arithmetic number, because the mean of its divisors is an integer number (2073600).

Almost surely, 2^61644616 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 61644616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66355200).

61644616 is an abundant number, since it is smaller than the sum of its proper divisors (71065784).

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

61644616 is a wasteful number, since it uses less digits than its factorization.

61644616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 61644616 is about 7851.4085360526. The cubic root of 61644616 is about 395.0314903058.

The spelling of 61644616 in words is "sixty-one million, six hundred forty-four thousand, six hundred sixteen".