867420 has 72 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 224640.

The previous prime is 867413. The next prime is 867431. The reversal of 867420 is 24768.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 867420.

It is an unprimeable number.

867420 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10941 + ... + 11019.

2⁸⁶⁷⁴²⁰ 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 867420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

867420 is an abundant number, since it is smaller than the sum of its proper divisors (1840740).

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

867420 is a wasteful number, since it uses less digits than its factorization.

867420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 867420 is about 931.3538532695. The cubic root of 867420 is about 95.3695669181.

The spelling of 867420 in words is "eight hundred sixty-seven thousand, four hundred twenty".