173011968 has 66 divisors (see below), whose sum is σ = 499594914. Its totient is φ = 57667584.

The previous prime is 173011939. The next prime is 173011987. The reversal of 173011968 is 869110371.

It can be written as a sum of positive squares in only one way, i.e., 172975104 + 36864 = 13152^2 + 192^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171 + ... + 18602.

Almost surely, 2^173011968 is an apocalyptic number.

173011968 is a gapful number since it is divisible by the number (18) 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 173011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249797457).

173011968 is an abundant number, since it is smaller than the sum of its proper divisors (326582946).

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

173011968 is a wasteful number, since it uses less digits than its factorization.

173011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18799 (or 18778 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 173011968 is about 13153.4013851931. The cubic root of 173011968 is about 557.2183142657.

The spelling of 173011968 in words is "one hundred seventy-three million, eleven thousand, nine hundred sixty-eight".