268360920 has 96 divisors (see below), whose sum is σ = 878202000. Its totient is φ = 71068416.

The previous prime is 268360919. The next prime is 268360951. The reversal of 268360920 is 29063862.

268360920 is a `hidden beast` number, since 26 + 8 + 3 + 609 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51139 + ... + 56141.

Almost surely, 2^268360920 is an apocalyptic number.

268360920 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 268360920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439101000).

268360920 is an abundant number, since it is smaller than the sum of its proper divisors (609841080).

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

268360920 is a wasteful number, since it uses less digits than its factorization.

268360920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 268360920 is about 16381.7251838749. The cubic root of 268360920 is about 645.0198659827.

The spelling of 268360920 in words is "two hundred sixty-eight million, three hundred sixty thousand, nine hundred twenty".