6896900 has 36 divisors (see below), whose sum is σ = 15850548. Its totient is φ = 2595840.

The previous prime is 6896893. The next prime is 6896909. The reversal of 6896900 is 96986.

It can be written as a sum of positive squares in 6 ways, for example, as 1024 + 6895876 = 32^2 + 2626^2 .

It is a super-2 number, since 2×6896900² = 95134459220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6896909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329 + ... + 3728.

It is an arithmetic number, because the mean of its divisors is an integer number (440293).

Almost surely, 2^6896900 is an apocalyptic number.

It is an amenable number.

6896900 is an abundant number, since it is smaller than the sum of its proper divisors (8953648).

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

6896900 is a wasteful number, since it uses less digits than its factorization.

6896900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 6896900 is about 2626.1949661059. The cubic root of 6896900 is about 190.3493112366.

The spelling of 6896900 in words is "six million, eight hundred ninety-six thousand, nine hundred".