196920 has 48 divisors (see below), whose sum is σ = 641160. Its totient is φ = 52416.

The previous prime is 196919. The next prime is 196927. The reversal of 196920 is 29691.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87 + ... + 633.

196920 is a Friedman number, since it can be written as 10*(9+(6/2)^9), using all its digits and the basic arithmetic operations.

2¹⁹⁶⁹²⁰ is an apocalyptic number.

196920 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 196920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320580).

196920 is an abundant number, since it is smaller than the sum of its proper divisors (444240).

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

196920 is a wasteful number, since it uses less digits than its factorization.

196920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 196920 is about 443.7566900904. The cubic root of 196920 is about 58.1786012663.

The spelling of 196920 in words is "one hundred ninety-six thousand, nine hundred twenty".