6948216 has 96 divisors (see below), whose sum is σ = 21265920. Its totient is φ = 2030400.

The previous prime is 6948211. The next prime is 6948217. The reversal of 6948216 is 6128496.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6948211) 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, 24411 + ... + 24693.

It is an arithmetic number, because the mean of its divisors is an integer number (221520).

Almost surely, 2^6948216 is an apocalyptic number.

6948216 is a gapful number since it is divisible by the number (66) 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 6948216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10632960).

6948216 is an abundant number, since it is smaller than the sum of its proper divisors (14317704).

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

6948216 is a wasteful number, since it uses less digits than its factorization.

6948216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6948216 is about 2635.9468886910. The cubic root of 6948216 is about 190.8202396683.

The spelling of 6948216 in words is "six million, nine hundred forty-eight thousand, two hundred sixteen".