870240 has 144 divisors (see below), whose sum is σ = 3274992. Its totient is φ = 193536.

The previous prime is 870239. The next prime is 870241. The reversal of 870240 is 42078.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (870239) and next prime (870241).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 870240.

It is not an unprimeable number, because it can be changed into a prime (870241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23502 + ... + 23538.

It is an arithmetic number, because the mean of its divisors is an integer number (22743).

2⁸⁷⁰²⁴⁰ is an apocalyptic number.

870240 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 870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637496).

870240 is an abundant number, since it is smaller than the sum of its proper divisors (2404752).

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

870240 is a wasteful number, since it uses less digits than its factorization.

870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 870240 is about 932.8665499416. The cubic root of 870240 is about 95.4728045879.

The spelling of 870240 in words is "eight hundred seventy thousand, two hundred forty".