6873948 has 36 divisors (see below), whose sum is σ = 17603040. Its totient is φ = 2261376.

The previous prime is 6873943. The next prime is 6873949. The reversal of 6873948 is 8493786.

It is a happy number.

6873948 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6873948² = 94502322213408, which contains 22 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6873943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1636 + ... + 4052.

Almost surely, 2^6873948 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 6873948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8801520).

6873948 is an abundant number, since it is smaller than the sum of its proper divisors (10729092).

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

6873948 is a wasteful number, since it uses less digits than its factorization.

6873948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2501 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 6873948 is about 2621.8215042218. The cubic root of 6873948 is about 190.1379238622.

The spelling of 6873948 in words is "six million, eight hundred seventy-three thousand, nine hundred forty-eight".