6956800 has 54 divisors (see below), whose sum is σ = 17235008. Its totient is φ = 2780160.

The previous prime is 6956797. The next prime is 6956809. The reversal of 6956800 is 86596.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6956809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5857 + ... + 6943.

Almost surely, 2^6956800 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 6956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8617504).

6956800 is an abundant number, since it is smaller than the sum of its proper divisors (10278208).

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

6956800 is a wasteful number, since it uses less digits than its factorization.

6956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 6956800 is about 2637.5746434935. The cubic root of 6956800 is about 190.8987886971.

The spelling of 6956800 in words is "six million, nine hundred fifty-six thousand, eight hundred".