616616 has 72 divisors (see below), whose sum is σ = 1592010. Its totient is φ = 221760.

The previous prime is 616597. The next prime is 616639.

616616 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 592900 + 23716 = 770^2 + 154^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

616616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47426 + ... + 47438.

2⁶¹⁶⁶¹⁶ 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 616616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796005).

616616 is an abundant number, since it is smaller than the sum of its proper divisors (975394).

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

616616 is a wasteful number, since it uses less digits than its factorization.

616616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

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

The square root of 616616 is about 785.2490050933. The cubic root of 616616 is about 85.1147699926.

Multiplying 616616 by its sum of digits (26), we get a square (16032016 = 4004²).

616616 divided by its sum of digits (26) gives a square (23716 = 154²).

The spelling of 616616 in words is "six hundred sixteen thousand, six hundred sixteen".