268212 has 48 divisors (see below), whose sum is σ = 745472. Its totient is φ = 73440.

The previous prime is 268211. The next prime is 268237. The reversal of 268212 is 212862.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2553 + ... + 2655.

2²⁶⁸²¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372736).

268212 is an abundant number, since it is smaller than the sum of its proper divisors (477260).

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

268212 is a wasteful number, since it uses less digits than its factorization.

268212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 268212 is about 517.8918806083. The cubic root of 268212 is about 64.4900531503.

The spelling of 268212 in words is "two hundred sixty-eight thousand, two hundred twelve".