870120 has 48 divisors (see below), whose sum is σ = 2829060. Its totient is φ = 231936.

The previous prime is 870109. The next prime is 870127. The reversal of 870120 is 21078.

870120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 820836 + 49284 = 906^2 + 222^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 870093 and 870102.

It is not an unprimeable number, because it can be changed into a prime (870127) by changing a digit.

870120 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 11 ways as a sum of consecutive naturals, for example, 849 + ... + 1568.

2⁸⁷⁰¹²⁰ is an apocalyptic number.

It is an amenable number.

870120 is an abundant number, since it is smaller than the sum of its proper divisors (1958940).

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

870120 is a wasteful number, since it uses less digits than its factorization.

870120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 870120 is about 932.8022298430. The cubic root of 870120 is about 95.4684160425.

Adding to 870120 its reverse (21078), we get a palindrome (891198).

It can be divided in two parts, 870 and 120, that added together give a triangular number (990 = T₄₄).

The spelling of 870120 in words is "eight hundred seventy thousand, one hundred twenty".