268380 has 96 divisors (see below), whose sum is σ = 967680. Its totient is φ = 60480.

The previous prime is 268343. The next prime is 268403. The reversal of 268380 is 83862.

268380 = T₄₉ + T₅₀ + ... + T₁₁₉.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

268380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3745 + ... + 3815.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2²⁶⁸³⁸⁰ is an apocalyptic number.

268380 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 268380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

268380 is an abundant number, since it is smaller than the sum of its proper divisors (699300).

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

268380 is a wasteful number, since it uses less digits than its factorization.

268380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 268380 is about 518.0540512340. The cubic root of 268380 is about 64.5035152222.

The spelling of 268380 in words is "two hundred sixty-eight thousand, three hundred eighty".