6801900 has 144 divisors (see below), whose sum is σ = 23331840. Its totient is φ = 1497600.

The previous prime is 6801889. The next prime is 6801919. The reversal of 6801900 is 91086.

It is a super-2 number, since 2×6801900² = 92531687220000, which contains 22 as substring.

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, 86061 + ... + 86139.

Almost surely, 2^6801900 is an apocalyptic number.

6801900 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 6801900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665920).

6801900 is an abundant number, since it is smaller than the sum of its proper divisors (16529940).

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

6801900 is a wasteful number, since it uses less digits than its factorization.

6801900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 6801900 is about 2608.0452450063. The cubic root of 6801900 is about 189.4712909867.

Adding to 6801900 its reverse (91086), we get a palindrome (6892986).

The spelling of 6801900 in words is "six million, eight hundred one thousand, nine hundred".