268934580 has 120 divisors (see below), whose sum is σ = 864448200. Its totient is φ = 69949440.

The previous prime is 268934573. The next prime is 268934587. The reversal of 268934580 is 85439862.

268934580 is a `hidden beast` number, since 2 + 68 + 9 + 3 + 4 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (268934573) and next prime (268934587).

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 266538276 = 1548^2 + 16326^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268934587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64396 + ... + 68444.

It is an arithmetic number, because the mean of its divisors is an integer number (7203735).

Almost surely, 2^268934580 is an apocalyptic number.

268934580 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 268934580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432224100).

268934580 is an abundant number, since it is smaller than the sum of its proper divisors (595513620).

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

268934580 is a wasteful number, since it uses less digits than its factorization.

268934580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 268934580 is about 16399.2249816874. The cubic root of 268934580 is about 645.4791464056.

The spelling of 268934580 in words is "two hundred sixty-eight million, nine hundred thirty-four thousand, five hundred eighty".