268795692 has 144 divisors (see below), whose sum is σ = 779954560. Its totient is φ = 79976160.

The previous prime is 268795691. The next prime is 268795711. The reversal of 268795692 is 296597862.

268795692 is a `hidden beast` number, since 2 + 6 + 8 + 79 + 569 + 2 = 666.

It is a super-2 number, since 2×268795692² = 144502248075517728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (268795691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875403 + ... + 875709.

Almost surely, 2^268795692 is an apocalyptic number.

268795692 is a gapful number since it is divisible by the number (22) 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 268795692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389977280).

268795692 is an abundant number, since it is smaller than the sum of its proper divisors (511158868).

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

268795692 is a wasteful number, since it uses less digits than its factorization.

268795692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 390 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 268795692 is about 16394.9898444616. The cubic root of 268795692 is about 645.3680106480.

The spelling of 268795692 in words is "two hundred sixty-eight million, seven hundred ninety-five thousand, six hundred ninety-two".