195580 has 48 divisors (see below), whose sum is σ = 516096. Its totient is φ = 60480.

The previous prime is 195541. The next prime is 195581. The reversal of 195580 is 85591.

195580 = T₅₄ + T₅₅ + ... + T₁₀₉.

195580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 1 + 9⁴ + 5⁷ + 5⁷ + 8⁵ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1477 + ... + 1603.

It is an arithmetic number, because the mean of its divisors is an integer number (10752).

2¹⁹⁵⁵⁸⁰ is an apocalyptic number.

195580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195580 is the 280-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258048).

195580 is an abundant number, since it is smaller than the sum of its proper divisors (320516).

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

195580 is a wasteful number, since it uses less digits than its factorization.

195580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 195580 is about 442.2442763903. The cubic root of 195580 is about 58.0463363370.

The spelling of 195580 in words is "one hundred ninety-five thousand, five hundred eighty".