196379820 has 288 divisors, whose sum is σ = 772961280. Its totient is φ = 39191040.

The previous prime is 196379797. The next prime is 196379863. The reversal of 196379820 is 28973691.

196379820 is a `hidden beast` number, since 1 + 9 + 637 + 9 + 8 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310905 + ... + 311535.

Almost surely, 2^196379820 is an apocalyptic number.

196379820 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 196379820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386480640).

196379820 is an abundant number, since it is smaller than the sum of its proper divisors (576581460).

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

196379820 is a wasteful number, since it uses less digits than its factorization.

196379820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 196379820 is about 14013.5584346018. The cubic root of 196379820 is about 581.2535511403.

The spelling of 196379820 in words is "one hundred ninety-six million, three hundred seventy-nine thousand, eight hundred twenty".