268260192 has 72 divisors (see below), whose sum is σ = 769709304. Its totient is φ = 88617984.

The previous prime is 268260163. The next prime is 268260199. The reversal of 268260192 is 291062862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×268260192² = 143927061223753728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268260199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28423 + ... + 36665.

It is an arithmetic number, because the mean of its divisors is an integer number (10690407).

Almost surely, 2^268260192 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 268260192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384854652).

268260192 is an abundant number, since it is smaller than the sum of its proper divisors (501449112).

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

268260192 is a wasteful number, since it uses less digits than its factorization.

268260192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372 (or 8361 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 268260192 is about 16378.6504938594. The cubic root of 268260192 is about 644.9391541666.

The spelling of 268260192 in words is "two hundred sixty-eight million, two hundred sixty thousand, one hundred ninety-two".