174890016 has 324 divisors, whose sum is σ = 636102558. Its totient is φ = 47029248.

The previous prime is 174889997. The next prime is 174890029. The reversal of 174890016 is 610098471.

It can be written as a sum of positive squares in only one way, i.e., 128595600 + 46294416 = 11340^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (324).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10287640 + ... + 10287656.

Almost surely, 2^174890016 is an apocalyptic number.

174890016 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 174890016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318051279).

174890016 is an abundant number, since it is smaller than the sum of its proper divisors (461212542).

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

174890016 is an frugal number, since it uses more digits than its factorization.

174890016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 174890016 is about 13224.5988975091. The cubic root of 174890016 is about 559.2272675462.

The spelling of 174890016 in words is "one hundred seventy-four million, eight hundred ninety thousand, sixteen".