617972168 has 108 divisors (see below), whose sum is σ = 1382333505. Its totient is φ = 258748160.

The previous prime is 617972161. The next prime is 617972171. The reversal of 617972168 is 861279716.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 565583524 + 52388644 = 23782^2 + 7238^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=17578.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (617972161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13148321 + ... + 13148367.

Almost surely, 2^617972168 is an apocalyptic number.

617972168 is a gapful number since it is divisible by the number (68) 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 617972168

617972168 is an abundant number, since it is smaller than the sum of its proper divisors (764361337).

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

617972168 is a wasteful number, since it uses less digits than its factorization.

617972168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 77 counting only the distinct ones).

The product of its digits is 254016, while the sum is 47.

The square root of 617972168 is about 24859.0459993943. The cubic root of 617972168 is about 851.7712398395.

The spelling of 617972168 in words is "six hundred seventeen million, nine hundred seventy-two thousand, one hundred sixty-eight".