194972832 has 240 divisors, whose sum is σ = 625695840. Its totient is φ = 59346432.

The previous prime is 194972819. The next prime is 194972839. The reversal of 194972832 is 238279491.

Its product of digits (217728) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (194972839) 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 39 ways as a sum of consecutive naturals, for example, 1822123 + ... + 1822229.

It is an arithmetic number, because the mean of its divisors is an integer number (2607066).

Almost surely, 2^194972832 is an apocalyptic number.

194972832 is a gapful number since it is divisible by the number (12) 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 194972832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312847920).

194972832 is an abundant number, since it is smaller than the sum of its proper divisors (430723008).

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

194972832 is a wasteful number, since it uses less digits than its factorization.

194972832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 194972832 is about 13963.2672394393. The cubic root of 194972832 is about 579.8620678742.

The spelling of 194972832 in words is "one hundred ninety-four million, nine hundred seventy-two thousand, eight hundred thirty-two".