870048 has 96 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 269568.

The previous prime is 870047. The next prime is 870049. The reversal of 870048 is 840078.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (870047) and next prime (870049).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 870048.

It is not an unprimeable number, because it can be changed into a prime (870047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16390 + ... + 16442.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁸⁷⁰⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

870048 is an abundant number, since it is smaller than the sum of its proper divisors (1851552).

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

870048 is a wasteful number, since it uses less digits than its factorization.

870048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 870048 is about 932.7636356548. The cubic root of 870048 is about 95.4657827216.

The spelling of 870048 in words is "eight hundred seventy thousand, forty-eight".