16974144 has 224 divisors, whose sum is σ = 58521600. Its totient is φ = 4769280.

The previous prime is 16974131. The next prime is 16974173. The reversal of 16974144 is 44147961.

16974144 = 87³ + 88³ + ... + 105³.

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

It is a junction number, because it is equal to n+sod(n) for n = 16974099 and 16974108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361129 + ... + 361175.

Almost surely, 2^16974144 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 16974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29260800).

16974144 is an abundant number, since it is smaller than the sum of its proper divisors (41547456).

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

16974144 is a wasteful number, since it uses less digits than its factorization.

16974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 16974144 is about 4119.9689319217. The cubic root of 16974144 is about 256.9977339856.

The spelling of 16974144 in words is "sixteen million, nine hundred seventy-four thousand, one hundred forty-four".