174974016 has 112 divisors (see below), whose sum is σ = 534741120. Its totient is φ = 49459200.

The previous prime is 174974011. The next prime is 174974017. The reversal of 174974016 is 610479471.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×174974016³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (174974011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135100 + ... + 136388.

Almost surely, 2^174974016 is an apocalyptic number.

174974016 is a gapful number since it is divisible by the number (16) 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 174974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267370560).

174974016 is an abundant number, since it is smaller than the sum of its proper divisors (359767104).

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

174974016 is a wasteful number, since it uses less digits than its factorization.

174974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 174974016 is about 13227.7744159779. The cubic root of 174974016 is about 559.3167858481.

The spelling of 174974016 in words is "one hundred seventy-four million, nine hundred seventy-four thousand, sixteen".