193960 has 32 divisors (see below), whose sum is σ = 471240. Its totient is φ = 71424.

The previous prime is 193957. The next prime is 193979. The reversal of 193960 is 69391.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 125316 + 68644 = 354^2 + 262^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334 + ... + 706.

2¹⁹³⁹⁶⁰ is an apocalyptic number.

193960 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 193960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235620).

193960 is an abundant number, since it is smaller than the sum of its proper divisors (277280).

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

193960 is a wasteful number, since it uses less digits than its factorization.

193960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 193960 is about 440.4089009091. The cubic root of 193960 is about 57.8856247802.

It can be divided in two parts, 1 and 93960, that added together give a triangular number (93961 = T₄₃₃).

The spelling of 193960 in words is "one hundred ninety-three thousand, nine hundred sixty".