6875920 has 40 divisors (see below), whose sum is σ = 16260120. Its totient is φ = 2703360.

The previous prime is 6875867. The next prime is 6875933. The reversal of 6875920 is 295786.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 6210064 = 816^2 + 2492^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×6875920³ (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6875920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4176 + ... + 5584.

It is an arithmetic number, because the mean of its divisors is an integer number (406503).

Almost surely, 2^6875920 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 6875920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8130060).

6875920 is an abundant number, since it is smaller than the sum of its proper divisors (9384200).

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

6875920 is a wasteful number, since it uses less digits than its factorization.

6875920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 6875920 is about 2622.1975516730. The cubic root of 6875920 is about 190.1561043962.

The spelling of 6875920 in words is "six million, eight hundred seventy-five thousand, nine hundred twenty".