196363872 has 192 divisors, whose sum is σ = 628689600. Its totient is φ = 59351040.

The previous prime is 196363861. The next prime is 196363877. The reversal of 196363872 is 278363691.

196363872 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 638 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196363877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425722 + ... + 426182.

It is an arithmetic number, because the mean of its divisors is an integer number (3274425).

Almost surely, 2^196363872 is an apocalyptic number.

196363872 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 196363872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314344800).

196363872 is an abundant number, since it is smaller than the sum of its proper divisors (432325728).

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

196363872 is a wasteful number, since it uses less digits than its factorization.

196363872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 196363872 is about 14012.9894026935. The cubic root of 196363872 is about 581.2378161858.

The spelling of 196363872 in words is "one hundred ninety-six million, three hundred sixty-three thousand, eight hundred seventy-two".