6849900 has 144 divisors (see below), whose sum is σ = 22915200. Its totient is φ = 1753920.

The previous prime is 6849893. The next prime is 6849917. The reversal of 6849900 is 99486.

6849900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6849900² = 93842260020000, which contains 22 as substring.

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

It is a congruent number.

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, 116071 + ... + 116129.

Almost surely, 2^6849900 is an apocalyptic number.

6849900 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 6849900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457600).

6849900 is an abundant number, since it is smaller than the sum of its proper divisors (16065300).

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

6849900 is a wasteful number, since it uses less digits than its factorization.

6849900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6849900 is about 2617.2313615728. The cubic root of 6849900 is about 189.9159369588.

The spelling of 6849900 in words is "six million, eight hundred forty-nine thousand, nine hundred".