174799968 has 96 divisors (see below), whose sum is σ = 526466304. Its totient is φ = 49746432.

The previous prime is 174799901. The next prime is 174799969. The reversal of 174799968 is 869997471.

174799968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (174799969) 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 15 ways as a sum of consecutive naturals, for example, 313546 + ... + 314102.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2^174799968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 174799968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263233152).

174799968 is an abundant number, since it is smaller than the sum of its proper divisors (351666336).

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

174799968 is a wasteful number, since it uses less digits than its factorization.

174799968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1036 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 60.

The square root of 174799968 is about 13221.1938946526. The cubic root of 174799968 is about 559.1312720870.

The spelling of 174799968 in words is "one hundred seventy-four million, seven hundred ninety-nine thousand, nine hundred sixty-eight".