268645104 has 360 divisors, whose sum is σ = 991186560. Its totient is φ = 66313728.

The previous prime is 268645099. The next prime is 268645121. The reversal of 268645104 is 401546862.

268645104 is a `hidden beast` number, since 2 + 6 + 8 + 645 + 1 + 0 + 4 = 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 71 ways as a sum of consecutive naturals, for example, 3236647 + ... + 3236729.

It is an arithmetic number, because the mean of its divisors is an integer number (2753296).

Almost surely, 2^268645104 is an apocalyptic number.

268645104 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 268645104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495593280).

268645104 is an abundant number, since it is smaller than the sum of its proper divisors (722541456).

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

268645104 is a wasteful number, since it uses less digits than its factorization.

268645104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 268645104 is about 16390.3967005073. The cubic root of 268645104 is about 645.2474694896.

The spelling of 268645104 in words is "two hundred sixty-eight million, six hundred forty-five thousand, one hundred four".