196833120 has 144 divisors (see below), whose sum is σ = 681715440. Its totient is φ = 47703040.

The previous prime is 196833107. The next prime is 196833127. The reversal of 196833120 is 21338691.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196833127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56386 + ... + 59774.

It is an arithmetic number, because the mean of its divisors is an integer number (4734135).

Almost surely, 2^196833120 is an apocalyptic number.

196833120 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 196833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340857720).

196833120 is an abundant number, since it is smaller than the sum of its proper divisors (484882320).

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

196833120 is a wasteful number, since it uses less digits than its factorization.

196833120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 196833120 is about 14029.7227342524. The cubic root of 196833120 is about 581.7004398343.

The spelling of 196833120 in words is "one hundred ninety-six million, eight hundred thirty-three thousand, one hundred twenty".