196560 has 160 divisors (see below), whose sum is σ = 833280. Its totient is φ = 41472.

The previous prime is 196549. The next prime is 196561. The reversal of 196560 is 65691.

196560 = T₈₈ + T₈₉ + ... + T₁₂₂.

196560 is a `hidden beast` number, since 1 + 9 + 656 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 196560.

It is not an unprimeable number, because it can be changed into a prime (196561) by changing a digit.

196560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15114 + ... + 15126.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2¹⁹⁶⁵⁶⁰ is an apocalyptic number.

196560 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 196560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

196560 is an abundant number, since it is smaller than the sum of its proper divisors (636720).

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

196560 is a wasteful number, since it uses less digits than its factorization.

196560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 196560 is about 443.3508768459. The cubic root of 196560 is about 58.1431265006.

It can be divided in two parts, 1965 and 60, that added together give a square (2025 = 45²).

The spelling of 196560 in words is "one hundred ninety-six thousand, five hundred sixty".