196921680 has 80 divisors (see below), whose sum is σ = 613294080. Its totient is φ = 52268544.

The previous prime is 196921657. The next prime is 196921691. The reversal of 196921680 is 86129691.

196921680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 53169 + ... + 56751.

It is an arithmetic number, because the mean of its divisors is an integer number (7666176).

Almost surely, 2^196921680 is an apocalyptic number.

196921680 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 196921680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306647040).

196921680 is an abundant number, since it is smaller than the sum of its proper divisors (416372400).

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

196921680 is a wasteful number, since it uses less digits than its factorization.

196921680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 196921680 is about 14032.8785357816. The cubic root of 196921680 is about 581.7876671378.

The spelling of 196921680 in words is "one hundred ninety-six million, nine hundred twenty-one thousand, six hundred eighty".