6998628 has 144 divisors (see below), whose sum is σ = 22135680. Its totient is φ = 1677312.

The previous prime is 6998627. The next prime is 6998681. The reversal of 6998628 is 8268996.

It is not an unprimeable number, because it can be changed into a prime (6998623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241318 + ... + 241346.

It is an arithmetic number, because the mean of its divisors is an integer number (153720).

Almost surely, 2^6998628 is an apocalyptic number.

6998628 is a gapful number since it is divisible by the number (68) 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 6998628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067840).

6998628 is an abundant number, since it is smaller than the sum of its proper divisors (15137052).

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

6998628 is a wasteful number, since it uses less digits than its factorization.

6998628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 6998628 is about 2645.4920147300. The cubic root of 6998628 is about 191.2806196436.

It can be divided in two parts, 6998 and 628, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 6998628 in words is "six million, nine hundred ninety-eight thousand, six hundred twenty-eight".