196267968 has 112 divisors (see below), whose sum is σ = 621446560. Its totient is φ = 60383232.

The previous prime is 196267963. The next prime is 196268011. The reversal of 196267968 is 869762691.

196267968 is a `hidden beast` number, since 1 + 9 + 626 + 7 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×196267968² = 77042230525698048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196267963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18096 + ... + 26832.

It is an arithmetic number, because the mean of its divisors is an integer number (5548630).

Almost surely, 2^196267968 is an apocalyptic number.

196267968 is a gapful number since it is divisible by the number (18) 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 196267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310723280).

196267968 is an abundant number, since it is smaller than the sum of its proper divisors (425178592).

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

196267968 is a wasteful number, since it uses less digits than its factorization.

196267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8771 (or 8755 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 196267968 is about 14009.5670168639. The cubic root of 196267968 is about 581.1431753737.

The spelling of 196267968 in words is "one hundred ninety-six million, two hundred sixty-seven thousand, nine hundred sixty-eight".