61611616 has 48 divisors (see below), whose sum is σ = 133712208. Its totient is φ = 27712000.

The previous prime is 61611607. The next prime is 61611629.

61611616 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61611616² = 7591982452262912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34686 + ... + 36418.

It is an arithmetic number, because the mean of its divisors is an integer number (2785671).

Almost surely, 2^61611616 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 61611616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66856104).

61611616 is an abundant number, since it is smaller than the sum of its proper divisors (72100592).

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

61611616 is a wasteful number, since it uses less digits than its factorization.

61611616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1847 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 61611616 is about 7849.3067209786. The cubic root of 61611616 is about 394.9609874411.

It can be divided in two parts, 6161 and 1616, that added together give a palindrome (7777).

The spelling of 61611616 in words is "sixty-one million, six hundred eleven thousand, six hundred sixteen".