268691904 has 196 divisors, whose sum is σ = 862849176. Its totient is φ = 82487808.

The previous prime is 268691887. The next prime is 268691921. The reversal of 268691904 is 409196862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (268691887) and next prime (268691921).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 268691904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 606307 + ... + 606749.

Almost surely, 2^268691904 is an apocalyptic number.

268691904 is a gapful number since it is divisible by the number (24) 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 268691904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431424588).

268691904 is an abundant number, since it is smaller than the sum of its proper divisors (594157272).

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

268691904 is an equidigital number, since it uses as much as digits as its factorization.

268691904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 268691904 is about 16391.8243035972. The cubic root of 268691904 is about 645.2849363033.

The spelling of 268691904 in words is "two hundred sixty-eight million, six hundred ninety-one thousand, nine hundred four".