196485120 has 336 divisors, whose sum is σ = 751389912. Its totient is φ = 47185920.

The previous prime is 196485101. The next prime is 196485127. The reversal of 196485120 is 21584691.

196485120 is a `hidden beast` number, since 1 + 9 + 648 + 5 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68161536 + 128323584 = 8256^2 + 11328^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (196485127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4792300 + ... + 4792340.

Almost surely, 2^196485120 is an apocalyptic number.

196485120 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 196485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375694956).

196485120 is an abundant number, since it is smaller than the sum of its proper divisors (554904792).

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

196485120 is a wasteful number, since it uses less digits than its factorization.

196485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 196485120 is about 14017.3150068050. The cubic root of 196485120 is about 581.3574230869.

The spelling of 196485120 in words is "one hundred ninety-six million, four hundred eighty-five thousand, one hundred twenty".