196719840 has 240 divisors, whose sum is σ = 712415088. Its totient is φ = 51093504.

The previous prime is 196719829. The next prime is 196719841. The reversal of 196719840 is 48917691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196719841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 557104 + ... + 557456.

Almost surely, 2^196719840 is an apocalyptic number.

196719840 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 196719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356207544).

196719840 is an abundant number, since it is smaller than the sum of its proper divisors (515695248).

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

196719840 is a wasteful number, since it uses less digits than its factorization.

196719840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 196719840 is about 14025.6850100093. The cubic root of 196719840 is about 581.5888263839.

The spelling of 196719840 in words is "one hundred ninety-six million, seven hundred nineteen thousand, eight hundred forty".