196241920 has 160 divisors (see below), whose sum is σ = 551536128. Its totient is φ = 65568768.

The previous prime is 196241909. The next prime is 196241953. The reversal of 196241920 is 29142691.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842124 + ... + 842356.

Almost surely, 2^196241920 is an apocalyptic number.

196241920 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 196241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275768064).

196241920 is an abundant number, since it is smaller than the sum of its proper divisors (355294208).

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

196241920 is an equidigital number, since it uses as much as digits as its factorization.

196241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 196241920 is about 14008.6373355869. The cubic root of 196241920 is about 581.1174651380.

The spelling of 196241920 in words is "one hundred ninety-six million, two hundred forty-one thousand, nine hundred twenty".