194088960 has 364 divisors, whose sum is σ = 752032092. Its totient is φ = 47775744.

The previous prime is 194088959. The next prime is 194088989. The reversal of 194088960 is 69880491.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 146313216 = 6912^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14929914 + ... + 14929926.

Almost surely, 2^194088960 is an apocalyptic number.

194088960 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 194088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376016046).

194088960 is an abundant number, since it is smaller than the sum of its proper divisors (557943132).

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

194088960 is an frugal number, since it uses more digits than its factorization.

194088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 194088960 is about 13931.5813890599. The cubic root of 194088960 is about 578.9845092368.

The spelling of 194088960 in words is "one hundred ninety-four million, eighty-eight thousand, nine hundred sixty".