6946896 has 80 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 2060160.

The previous prime is 6946889. The next prime is 6946903. The reversal of 6946896 is 6986496.

It is an interprime number because it is at equal distance from previous prime (6946889) and next prime (6946903).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 31041 + ... + 31263.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^6946896 is an apocalyptic number.

6946896 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 6946896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

6946896 is an abundant number, since it is smaller than the sum of its proper divisors (13051824).

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

6946896 is a wasteful number, since it uses less digits than its factorization.

6946896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 6946896 is about 2635.6964923906. The cubic root of 6946896 is about 190.8081550954.

The spelling of 6946896 in words is "six million, nine hundred forty-six thousand, eight hundred ninety-six".