196468272 has 480 divisors, whose sum is σ = 779950080. Its totient is φ = 44513280.

The previous prime is 196468213. The next prime is 196468309. The reversal of 196468272 is 272864691.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (290304) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4180153 + ... + 4180199.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^196468272 is an apocalyptic number.

196468272 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 196468272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

196468272 is an abundant number, since it is smaller than the sum of its proper divisors (583481808).

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

196468272 is a wasteful number, since it uses less digits than its factorization.

196468272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 196468272 is about 14016.7140229085. The cubic root of 196468272 is about 581.3408060697.

The spelling of 196468272 in words is "one hundred ninety-six million, four hundred sixty-eight thousand, two hundred seventy-two".