6801840 has 160 divisors (see below), whose sum is σ = 24284160. Its totient is φ = 1748736.

The previous prime is 6801833. The next prime is 6801877. The reversal of 6801840 is 481086.

6801840 is digitally balanced in base 4, 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 (27).

It is a congruent number.

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, 101487 + ... + 101553.

It is an arithmetic number, because the mean of its divisors is an integer number (151776).

Almost surely, 2^6801840 is an apocalyptic number.

6801840 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 6801840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142080).

6801840 is an abundant number, since it is smaller than the sum of its proper divisors (17482320).

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

6801840 is a wasteful number, since it uses less digits than its factorization.

6801840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6801840 is about 2608.0337421130. The cubic root of 6801840 is about 189.4707338722.

The spelling of 6801840 in words is "six million, eight hundred one thousand, eight hundred forty".