268770 has 48 divisors (see below), whose sum is σ = 707328. Its totient is φ = 65280.

The previous prime is 268759. The next prime is 268771. The reversal of 268770 is 77862.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (268771) by changing a digit.

268770 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8655 + ... + 8685.

It is an arithmetic number, because the mean of its divisors is an integer number (14736).

2²⁶⁸⁷⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353664).

268770 is an abundant number, since it is smaller than the sum of its proper divisors (438558).

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

268770 is a wasteful number, since it uses less digits than its factorization.

268770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 268770 is about 518.4303231872. The cubic root of 268770 is about 64.5347448162.

The spelling of 268770 in words is "two hundred sixty-eight thousand, seven hundred seventy".