268369920 has 408 divisors, whose sum is σ = 1145036256. Its totient is φ = 56623104.

The previous prime is 268369903. The next prime is 268369921. The reversal of 268369920 is 29963862.

268369920 is a `hidden beast` number, since 268 + 369 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2, base 4 and base 16.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1040 × 1008 × 256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268369921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20643834 + ... + 20643846.

Almost surely, 2^268369920 is an apocalyptic number.

268369920 is a gapful number since it is divisible by the number (20) 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 268369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572518128).

268369920 is an abundant number, since it is smaller than the sum of its proper divisors (876666336).

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

268369920 is an equidigital number, since it uses as much as digits as its factorization.

268369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 268369920 is about 16381.9998779148. Note that the first 3 decimals coincide. The cubic root of 268369920 is about 645.0270765630.

The spelling of 268369920 in words is "two hundred sixty-eight million, three hundred sixty-nine thousand, nine hundred twenty".