194912640 has 384 divisors, whose sum is σ = 768549600. Its totient is φ = 45121536.

The previous prime is 194912639. The next prime is 194912689. The reversal of 194912640 is 46219491.

It is a happy number.

194912640 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 194912595 and 194912604.

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 47 ways as a sum of consecutive naturals, for example, 1422652 + ... + 1422788.

Almost surely, 2^194912640 is an apocalyptic number.

194912640 is a gapful number since it is divisible by the number (10) 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 194912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384274800).

194912640 is an abundant number, since it is smaller than the sum of its proper divisors (573636960).

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

194912640 is a wasteful number, since it uses less digits than its factorization.

194912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 194912640 is about 13961.1117035858. Note that the first 3 decimals coincide. The cubic root of 194912640 is about 579.8023900726.

The spelling of 194912640 in words is "one hundred ninety-four million, nine hundred twelve thousand, six hundred forty".