6920820 has 36 divisors (see below), whose sum is σ = 20993700. Its totient is φ = 1845504.

The previous prime is 6920803. The next prime is 6920827. The reversal of 6920820 is 280296.

It can be written as a sum of positive squares in 2 ways, for example, as 898704 + 6022116 = 948^2 + 2454^2 .

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

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6920827) 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, 19045 + ... + 19404.

Almost surely, 2^6920820 is an apocalyptic number.

6920820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6920820 is an abundant number, since it is smaller than the sum of its proper divisors (14072880).

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

6920820 is a wasteful number, since it uses less digits than its factorization.

6920820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38464 (or 38459 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6920820 is about 2630.7451415901. The cubic root of 6920820 is about 190.5691153928.

The spelling of 6920820 in words is "six million, nine hundred twenty thousand, eight hundred twenty".