6723820 has 48 divisors (see below), whose sum is σ = 15095808. Its totient is φ = 2509760.

The previous prime is 6723803. The next prime is 6723863. The reversal of 6723820 is 283276.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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, 21465 + ... + 21775.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 2^6723820 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 6723820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904).

6723820 is an abundant number, since it is smaller than the sum of its proper divisors (8371988).

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

6723820 is a wasteful number, since it uses less digits than its factorization.

6723820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 6723820 is about 2593.0329731802. The cubic root of 6723820 is about 188.7435095644.

It can be divided in two parts, 6723 and 820, that multiplied together give a triangular number (5512860 = T₃₃₂₀).

The spelling of 6723820 in words is "six million, seven hundred twenty-three thousand, eight hundred twenty".