196851072 has 128 divisors (see below), whose sum is σ = 590457600. Its totient is φ = 57559040.

The previous prime is 196851049. The next prime is 196851073. The reversal of 196851072 is 270158691.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 196851072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196851073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121693 + ... + 123299.

It is an arithmetic number, because the mean of its divisors is an integer number (4612950).

Almost surely, 2^196851072 is an apocalyptic number.

196851072 is a gapful number since it is divisible by the number (12) 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 196851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295228800).

196851072 is an abundant number, since it is smaller than the sum of its proper divisors (393606528).

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

196851072 is a wasteful number, since it uses less digits than its factorization.

196851072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 196851072 is about 14030.3625042263. The cubic root of 196851072 is about 581.7181237973.

The spelling of 196851072 in words is "one hundred ninety-six million, eight hundred fifty-one thousand, seventy-two".