6839820 has 144 divisors (see below), whose sum is σ = 23237760. Its totient is φ = 1617408.

The previous prime is 6839803. The next prime is 6839837. The reversal of 6839820 is 289386.

6839820 = T₂₉ + T₃₀ + ... + T₃₄₄.

It is an interprime number because it is at equal distance from previous prime (6839803) and next prime (6839837).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86541 + ... + 86619.

Almost surely, 2^6839820 is an apocalyptic number.

6839820 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 6839820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11618880).

6839820 is an abundant number, since it is smaller than the sum of its proper divisors (16397940).

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

6839820 is a wasteful number, since it uses less digits than its factorization.

6839820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6839820 is about 2615.3049535379. The cubic root of 6839820 is about 189.8227340197.

The spelling of 6839820 in words is "six million, eight hundred thirty-nine thousand, eight hundred twenty".