174007968 has 48 divisors (see below), whose sum is σ = 458309376. Its totient is φ = 57807360.

The previous prime is 174007963. The next prime is 174007969. The reversal of 174007968 is 869700471.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (174007961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27153 + ... + 32943.

It is an arithmetic number, because the mean of its divisors is an integer number (9548112).

Almost surely, 2^174007968 is an apocalyptic number.

It is an amenable number.

174007968 is an abundant number, since it is smaller than the sum of its proper divisors (284301408).

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

174007968 is a wasteful number, since it uses less digits than its factorization.

174007968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117 (or 6109 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 174007968 is about 13191.2079810759. The cubic root of 174007968 is about 558.2855387815.

The spelling of 174007968 in words is "one hundred seventy-four million, seven thousand, nine hundred sixty-eight".