194868000 has 144 divisors (see below), whose sum is σ = 691714296. Its totient is φ = 51955200.

The previous prime is 194867993. The next prime is 194868001. The reversal of 194868000 is 868491.

It is a happy number.

194868000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32764176 + 162103824 = 5724^2 + 12732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (194868001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33294 + ... + 38706.

Almost surely, 2^194868000 is an apocalyptic number.

194868000 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 194868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345857148).

194868000 is an abundant number, since it is smaller than the sum of its proper divisors (496846296).

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

194868000 is a wasteful number, since it uses less digits than its factorization.

194868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 194868000 is about 13959.5128854842. The cubic root of 194868000 is about 579.7581234807.

The spelling of 194868000 in words is "one hundred ninety-four million, eight hundred sixty-eight thousand".