6870540 has 48 divisors (see below), whose sum is σ = 19692288. Its totient is φ = 1788864.

The previous prime is 6870527. The next prime is 6870553. The reversal of 6870540 is 450786.

It is a happy number.

6870540 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (6870527) and next prime (6870553).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6870498 and 6870507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249 + ... + 3911.

It is an arithmetic number, because the mean of its divisors is an integer number (410256).

Almost surely, 2^6870540 is an apocalyptic number.

6870540 is a gapful number since it is divisible by the number (60) 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 6870540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9846144).

6870540 is an abundant number, since it is smaller than the sum of its proper divisors (12821748).

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

6870540 is a wasteful number, since it uses less digits than its factorization.

6870540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 6870540 is about 2621.1714938172. The cubic root of 6870540 is about 190.1064961604.

The spelling of 6870540 in words is "six million, eight hundred seventy thousand, five hundred forty".