6956820 has 96 divisors (see below), whose sum is σ = 23331840. Its totient is φ = 1710720.

The previous prime is 6956809. The next prime is 6956837. The reversal of 6956820 is 286596.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6525 + ... + 7515.

It is an arithmetic number, because the mean of its divisors is an integer number (243040).

Almost surely, 2^6956820 is an apocalyptic number.

6956820 is a gapful number since it is divisible by the number (60) 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 6956820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665920).

6956820 is an abundant number, since it is smaller than the sum of its proper divisors (16375020).

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

6956820 is a wasteful number, since it uses less digits than its factorization.

6956820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6956820 is about 2637.5784348527. The cubic root of 6956820 is about 190.8989716343.

It can be divided in two parts, 6956 and 820, that added together give a 5-th power (7776 = 6⁵).

The spelling of 6956820 in words is "six million, nine hundred fifty-six thousand, eight hundred twenty".