867920 has 40 divisors (see below), whose sum is σ = 2127840. Its totient is φ = 328320.

The previous prime is 867913. The next prime is 867943. The reversal of 867920 is 29768.

867920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

867920 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, 1235 + ... + 1805.

It is an arithmetic number, because the mean of its divisors is an integer number (53196).

2⁸⁶⁷⁹²⁰ is an apocalyptic number.

867920 is a gapful number since it is divisible by the number (80) 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 867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063920).

867920 is an abundant number, since it is smaller than the sum of its proper divisors (1259920).

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

867920 is a wasteful number, since it uses less digits than its factorization.

867920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 867920 is about 931.6222410398. The cubic root of 867920 is about 95.3878877716.

The spelling of 867920 in words is "eight hundred sixty-seven thousand, nine hundred twenty".