6814920 has 192 divisors, whose sum is σ = 25444800. Its totient is φ = 1451520.

The previous prime is 6814889. The next prime is 6814933. The reversal of 6814920 is 294186.

6814920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 111690 + ... + 111750.

It is an arithmetic number, because the mean of its divisors is an integer number (132525).

Almost surely, 2^6814920 is an apocalyptic number.

6814920 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 6814920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722400).

6814920 is an abundant number, since it is smaller than the sum of its proper divisors (18629880).

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

6814920 is a wasteful number, since it uses less digits than its factorization.

6814920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6814920 is about 2610.5401739870. The cubic root of 6814920 is about 189.5921074177.

The spelling of 6814920 in words is "six million, eight hundred fourteen thousand, nine hundred twenty".