268476120 has 320 divisors, whose sum is σ = 1020349440. Its totient is φ = 62985600.

The previous prime is 268476083. The next prime is 268476127. The reversal of 268476120 is 21674862.

268476120 is a `hidden beast` number, since 2 + 68 + 476 + 120 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268476127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8660505 + ... + 8660535.

It is an arithmetic number, because the mean of its divisors is an integer number (3188592).

Almost surely, 2^268476120 is an apocalyptic number.

268476120 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 268476120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510174720).

268476120 is an abundant number, since it is smaller than the sum of its proper divisors (751873320).

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

268476120 is an equidigital number, since it uses as much as digits as its factorization.

268476120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 268476120 is about 16385.2409198034. The cubic root of 268476120 is about 645.1121492388.

The spelling of 268476120 in words is "two hundred sixty-eight million, four hundred seventy-six thousand, one hundred twenty".