617116080 has 160 divisors (see below), whose sum is σ = 2207430144. Its totient is φ = 139696128.

The previous prime is 617116033. The next prime is 617116117. The reversal of 617116080 is 80611716.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178044 + ... + 181476.

Almost surely, 2^617116080 is an apocalyptic number.

617116080 is a gapful number since it is divisible by the number (60) 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 617116080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103715072).

617116080 is an abundant number, since it is smaller than the sum of its proper divisors (1590314064).

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

617116080 is a wasteful number, since it uses less digits than its factorization.

617116080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 617116080 is about 24841.8211892768. The cubic root of 617116080 is about 851.3777333814.

Adding to 617116080 its reverse (80611716), we get a palindrome (697727796).

The spelling of 617116080 in words is "six hundred seventeen million, one hundred sixteen thousand, eighty".