26872320 has 80 divisors (see below), whose sum is σ = 85932000. Its totient is φ = 7163904.

The previous prime is 26872309. The next prime is 26872337. The reversal of 26872320 is 2327862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5931 + ... + 9429.

It is an arithmetic number, because the mean of its divisors is an integer number (1074150).

Almost surely, 2^26872320 is an apocalyptic number.

26872320 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 26872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42966000).

26872320 is an abundant number, since it is smaller than the sum of its proper divisors (59059680).

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

26872320 is an equidigital number, since it uses as much as digits as its factorization.

26872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 26872320 is about 5183.8518497349. The cubic root of 26872320 is about 299.5263637336.

The spelling of 26872320 in words is "twenty-six million, eight hundred seventy-two thousand, three hundred twenty".