867408 has 40 divisors (see below), whose sum is σ = 2374848. Its totient is φ = 271872.

The previous prime is 867401. The next prime is 867409. The reversal of 867408 is 804768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867401) by changing a digit.

867408 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 7 ways as a sum of consecutive naturals, for example, 285 + ... + 1347.

2⁸⁶⁷⁴⁰⁸ 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 867408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424).

867408 is an abundant number, since it is smaller than the sum of its proper divisors (1507440).

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

867408 is a wasteful number, since it uses less digits than its factorization.

867408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 867408 is about 931.3474110127. The cubic root of 867408 is about 95.3691271311.

It can be divided in two parts, 867 and 408, that added together give a triangular number (1275 = T₅₀).

The spelling of 867408 in words is "eight hundred sixty-seven thousand, four hundred eight".