617679216 has 320 divisors, whose sum is σ = 2285568000. Its totient is φ = 155001600.

The previous prime is 617679203. The next prime is 617679233. The reversal of 617679216 is 612976716.

It is a happy number.

617679216 is a `hidden beast` number, since 617 + 6 + 7 + 9 + 21 + 6 = 666.

It is a super-2 number, since 2×617679216² = 763055227756749312, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1030885 + ... + 1031483.

It is an arithmetic number, because the mean of its divisors is an integer number (7142400).

Almost surely, 2^617679216 is an apocalyptic number.

617679216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 617679216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142784000).

617679216 is an abundant number, since it is smaller than the sum of its proper divisors (1667888784).

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

617679216 is a wasteful number, since it uses less digits than its factorization.

617679216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 617679216 is about 24853.1530394033. The cubic root of 617679216 is about 851.6366234595.

The spelling of 617679216 in words is "six hundred seventeen million, six hundred seventy-nine thousand, two hundred sixteen".