196824 has 32 divisors (see below), whose sum is σ = 504000. Its totient is φ = 64032.

The previous prime is 196817. The next prime is 196831. The reversal of 196824 is 428691.

It is an interprime number because it is at equal distance from previous prime (196817) and next prime (196831).

It is a junction number, because it is equal to n+sod(n) for n = 196791 and 196800.

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, 1347 + ... + 1485.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

196824 is a Friedman number, since it can be written as (8+2)*(4-1)^9-6, using all its digits and the basic arithmetic operations.

2¹⁹⁶⁸²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252000).

196824 is an abundant number, since it is smaller than the sum of its proper divisors (307176).

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

196824 is a wasteful number, since it uses less digits than its factorization.

196824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 196824 is about 443.6485095208. The cubic root of 196824 is about 58.1691455591.

The spelling of 196824 in words is "one hundred ninety-six thousand, eight hundred twenty-four".