196812000 has 576 divisors, whose sum is σ = 883104768. Its totient is φ = 40320000.

The previous prime is 196811971. The next prime is 196812001. The reversal of 196812000 is 218691.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196812001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2771965 + ... + 2772035.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 2^196812000 is an apocalyptic number.

196812000 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 196812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441552384).

196812000 is an abundant number, since it is smaller than the sum of its proper divisors (686292768).

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

196812000 is a wasteful number, since it uses less digits than its factorization.

196812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 196812000 is about 14028.9700263419. The cubic root of 196812000 is about 581.6796337953.

The spelling of 196812000 in words is "one hundred ninety-six million, eight hundred twelve thousand".