268971192 has 240 divisors, whose sum is σ = 901299960. Its totient is φ = 74680704.

The previous prime is 268971187. The next prime is 268971247. The reversal of 268971192 is 291179862.

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

Its product of digits (108864) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1365238 + ... + 1365434.

Almost surely, 2^268971192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268971192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450649980).

268971192 is an abundant number, since it is smaller than the sum of its proper divisors (632328768).

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

268971192 is a wasteful number, since it uses less digits than its factorization.

268971192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 268971192 is about 16400.3412159626. The cubic root of 268971192 is about 645.5084363172.

The spelling of 268971192 in words is "two hundred sixty-eight million, nine hundred seventy-one thousand, one hundred ninety-two".