196840 has 64 divisors (see below), whose sum is σ = 547200. Its totient is φ = 62208.

The previous prime is 196837. The next prime is 196853. The reversal of 196840 is 48691.

196840 is nontrivially palindromic in base 3.

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

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 196799 and 196808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5302 + ... + 5338.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2¹⁹⁶⁸⁴⁰ is an apocalyptic number.

196840 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 196840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273600).

196840 is an abundant number, since it is smaller than the sum of its proper divisors (350360).

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

196840 is a wasteful number, since it uses less digits than its factorization.

196840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 196840 is about 443.6665414475. Note that the first 3 decimals coincide. The cubic root of 196840 is about 58.1707217238.

Subtracting from 196840 its product of nonzero digits (1728), we obtain a cube (195112 = 58³).

It can be divided in two parts, 19 and 6840, that added together give a cube (6859 = 19³).

The spelling of 196840 in words is "one hundred ninety-six thousand, eight hundred forty".