6998580 has 72 divisors (see below), whose sum is σ = 21621600. Its totient is φ = 1831872.

The previous prime is 6998561. The next prime is 6998581. The reversal of 6998580 is 858996.

6998580 is a `hidden beast` number, since 69 + 9 + 8 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6998581) 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 23 ways as a sum of consecutive naturals, for example, 10291 + ... + 10949.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 2^6998580 is an apocalyptic number.

6998580 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 6998580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810800).

6998580 is an abundant number, since it is smaller than the sum of its proper divisors (14623020).

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

6998580 is a wasteful number, since it uses less digits than its factorization.

6998580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 6998580 is about 2645.4829426780. The cubic root of 6998580 is about 191.2801823440.

The spelling of 6998580 in words is "six million, nine hundred ninety-eight thousand, five hundred eighty".