617161680 has 240 divisors, whose sum is σ = 2193609600. Its totient is φ = 161201664.

The previous prime is 617161679. The next prime is 617161681. The reversal of 617161680 is 86161716.

It is an interprime number because it is at equal distance from previous prime (617161679) and next prime (617161681).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617161681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1030021 + ... + 1030619.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2^617161680 is an apocalyptic number.

617161680 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 617161680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096804800).

617161680 is an abundant number, since it is smaller than the sum of its proper divisors (1576447920).

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

617161680 is a wasteful number, since it uses less digits than its factorization.

617161680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 617161680 is about 24842.7389794282. The cubic root of 617161680 is about 851.3987028930.

Adding to 617161680 its sum of digits (36), we get a palindrome (617161716).

The spelling of 617161680 in words is "six hundred seventeen million, one hundred sixty-one thousand, six hundred eighty".