193890960 has 120 divisors (see below), whose sum is σ = 663566904. Its totient is φ = 50718720.

The previous prime is 193890959. The next prime is 193890971. The reversal of 193890960 is 69098391.

It can be written as a sum of positive squares in 4 ways, for example, as 10342656 + 183548304 = 3216^2 + 13548^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35620 + ... + 40700.

Almost surely, 2^193890960 is an apocalyptic number.

193890960 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 193890960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331783452).

193890960 is an abundant number, since it is smaller than the sum of its proper divisors (469675944).

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

193890960 is a wasteful number, since it uses less digits than its factorization.

193890960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 193890960 is about 13924.4734191279. The cubic root of 193890960 is about 578.7875584195.

The spelling of 193890960 in words is "one hundred ninety-three million, eight hundred ninety thousand, nine hundred sixty".