867768 has 64 divisors (see below), whose sum is σ = 2505600. Its totient is φ = 247680.

The previous prime is 867743. The next prime is 867773.

867768 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4930 + ... + 5102.

It is an arithmetic number, because the mean of its divisors is an integer number (39150).

2⁸⁶⁷⁷⁶⁸ is an apocalyptic number.

867768 is a gapful number since it is divisible by the number (88) 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 867768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252800).

867768 is an abundant number, since it is smaller than the sum of its proper divisors (1637832).

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

867768 is a wasteful number, since it uses less digits than its factorization.

867768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 867768 is about 931.5406593381. The cubic root of 867768 is about 95.3823189767.

It can be divided in two parts, 867 and 768, that multiplied together give a square (665856 = 816²).

The spelling of 867768 in words is "eight hundred sixty-seven thousand, seven hundred sixty-eight".