26820200 has 96 divisors (see below), whose sum is σ = 69370560. Its totient is φ = 9561600.

The previous prime is 26820197. The next prime is 26820217. The reversal of 26820200 is 202862.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 160517 + ... + 160683.

It is an arithmetic number, because the mean of its divisors is an integer number (722610).

Almost surely, 2^26820200 is an apocalyptic number.

26820200 is a gapful number since it is divisible by the number (20) 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 26820200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34685280).

26820200 is an abundant number, since it is smaller than the sum of its proper divisors (42550360).

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

26820200 is a wasteful number, since it uses less digits than its factorization.

26820200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 26820200 is about 5178.8222599352. The cubic root of 26820200 is about 299.3325903898.

The spelling of 26820200 in words is "twenty-six million, eight hundred twenty thousand, two hundred".