6930820 has 96 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 2280960.

The previous prime is 6930811. The next prime is 6930851. The reversal of 6930820 is 280396.

6930820 = 294² + 295² + ... + 358².

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, 113590 + ... + 113650.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 2^6930820 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 6930820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

6930820 is an abundant number, since it is smaller than the sum of its proper divisors (10568060).

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

6930820 is a wasteful number, since it uses less digits than its factorization.

6930820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 6930820 is about 2632.6450577319. The cubic root of 6930820 is about 190.6608566429.

It can be divided in two parts, 6930 and 820, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 6930820 in words is "six million, nine hundred thirty thousand, eight hundred twenty".