616616616 has 64 divisors (see below), whose sum is σ = 1921927680. Its totient is φ = 160159680.

The previous prime is 616616599. The next prime is 616616617.

It is a happy number.

616616616 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×616616616² = 760432102254582912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

616616616 is a modest number, since divided by 616616 gives 616 as remainder.

It is not an unprimeable number, because it can be changed into a prime (616616617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164986 + ... + 168681.

It is an arithmetic number, because the mean of its divisors is an integer number (30030120).

Almost surely, 2^616616616 is an apocalyptic number.

616616616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

616616616 is an abundant number, since it is smaller than the sum of its proper divisors (1305311064).

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

616616616 is a wasteful number, since it uses less digits than its factorization.

616616616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333694 (or 333690 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 616616616 is about 24831.7662682299. The cubic root of 616616616 is about 851.1479833584.

The spelling of 616616616 in words is "six hundred sixteen million, six hundred sixteen thousand, six hundred sixteen".