26980200 has 144 divisors (see below), whose sum is σ = 97663020. Its totient is φ = 6635520.

The previous prime is 26980193. The next prime is 26980201. The reversal of 26980200 is 208962.

It can be written as a sum of positive squares in 6 ways, for example, as 8678916 + 18301284 = 2946^2 + 4278^2 .

It is not an unprimeable number, because it can be changed into a prime (26980201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22824 + ... + 23976.

Almost surely, 2^26980200 is an apocalyptic number.

26980200 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 26980200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48831510).

26980200 is an abundant number, since it is smaller than the sum of its proper divisors (70682820).

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

26980200 is a wasteful number, since it uses less digits than its factorization.

26980200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 26980200 is about 5194.2468173933. The cubic root of 26980200 is about 299.9266487334.

The spelling of 26980200 in words is "twenty-six million, nine hundred eighty thousand, two hundred".