6998900 has 72 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 2506240.

The previous prime is 6998869. The next prime is 6998909. The reversal of 6998900 is 98996.

6998900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6998909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39011 + ... + 39189.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^6998900 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 6998900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

6998900 is an abundant number, since it is smaller than the sum of its proper divisors (9875020).

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

6998900 is a wasteful number, since it uses less digits than its factorization.

6998900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 6998900 is about 2645.5434224371. The cubic root of 6998900 is about 191.2830976366.

The spelling of 6998900 in words is "six million, nine hundred ninety-eight thousand, nine hundred".