194971824 has 60 divisors (see below), whose sum is σ = 549688776. Its totient is φ = 64509696.

The previous prime is 194971811. The next prime is 194971841. The reversal of 194971824 is 428179491.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 194971824.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14787 + ... + 24669.

Almost surely, 2^194971824 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 194971824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274844388).

194971824 is an abundant number, since it is smaller than the sum of its proper divisors (354716952).

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

194971824 is a wasteful number, since it uses less digits than its factorization.

194971824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10034 (or 10025 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 194971824 is about 13963.2311446885. The cubic root of 194971824 is about 579.8610685863.

It can be divided in two parts, 19497 and 1824, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 194971824 in words is "one hundred ninety-four million, nine hundred seventy-one thousand, eight hundred twenty-four".