6801828 has 36 divisors (see below), whose sum is σ = 17390352. Its totient is φ = 2052080.

The previous prime is 6801797. The next prime is 6801833. The reversal of 6801828 is 8281086.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29851 + ... + 30077.

Almost surely, 2^6801828 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 6801828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695176).

6801828 is an abundant number, since it is smaller than the sum of its proper divisors (10588524).

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

6801828 is a wasteful number, since it uses less digits than its factorization.

6801828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 6801828 is about 2608.0314415283. The cubic root of 6801828 is about 189.4706224489.

Multiplying 6801828 by its sum of digits (33), we get a square (224460324 = 14982²).

6801828 divided by its sum of digits (33) gives a square (206116 = 454²).

The spelling of 6801828 in words is "six million, eight hundred one thousand, eight hundred twenty-eight".