868320 has 120 divisors (see below), whose sum is σ = 3110184. Its totient is φ = 228096.

The previous prime is 868313. The next prime is 868327. The reversal of 868320 is 23868.

It is an interprime number because it is at equal distance from previous prime (868313) and next prime (868327).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12927 + ... + 12993.

2⁸⁶⁸³²⁰ is an apocalyptic number.

868320 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 868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555092).

868320 is an abundant number, since it is smaller than the sum of its proper divisors (2241864).

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

868320 is a wasteful number, since it uses less digits than its factorization.

868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 868320 is about 931.8368955992. The cubic root of 868320 is about 95.4025393889.

The spelling of 868320 in words is "eight hundred sixty-eight thousand, three hundred twenty".