194800032 has 192 divisors, whose sum is σ = 670924800. Its totient is φ = 53809920.

The previous prime is 194800003. The next prime is 194800033. The reversal of 194800032 is 230008491.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 194799969 and 194800005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194800033) 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 31 ways as a sum of consecutive naturals, for example, 186969 + ... + 188007.

It is an arithmetic number, because the mean of its divisors is an integer number (3494400).

Almost surely, 2^194800032 is an apocalyptic number.

194800032 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 194800032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335462400).

194800032 is an abundant number, since it is smaller than the sum of its proper divisors (476124768).

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

194800032 is a wasteful number, since it uses less digits than its factorization.

194800032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 194800032 is about 13957.0782042661. The cubic root of 194800032 is about 579.6907110402.

The spelling of 194800032 in words is "one hundred ninety-four million, eight hundred thousand, thirty-two".