870320 has 80 divisors (see below), whose sum is σ = 2356992. Its totient is φ = 295680.

The previous prime is 870301. The next prime is 870323. The reversal of 870320 is 23078.

870320 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 870292 and 870301.

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 870320.

It is not an unprimeable number, because it can be changed into a prime (870323) by changing a digit.

870320 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 15 ways as a sum of consecutive naturals, for example, 20219 + ... + 20261.

2⁸⁷⁰³²⁰ is an apocalyptic number.

870320 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 870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178496).

870320 is an abundant number, since it is smaller than the sum of its proper divisors (1486672).

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

870320 is a wasteful number, since it uses less digits than its factorization.

870320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 870320 is about 932.9094275437. The cubic root of 870320 is about 95.4757300607.

Adding to 870320 its reverse (23078), we get a palindrome (893398).

The spelling of 870320 in words is "eight hundred seventy thousand, three hundred twenty".