26938720 has 48 divisors (see below), whose sum is σ = 64311408. Its totient is φ = 10662400.

The previous prime is 26938711. The next prime is 26938781. The reversal of 26938720 is 2783962.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26938720.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15327 + ... + 16993.

It is an arithmetic number, because the mean of its divisors is an integer number (1339821).

Almost surely, 2^26938720 is an apocalyptic number.

26938720 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 26938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32155704).

26938720 is an abundant number, since it is smaller than the sum of its proper divisors (37372688).

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

26938720 is a wasteful number, since it uses less digits than its factorization.

26938720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 26938720 is about 5190.2524023404. The cubic root of 26938720 is about 299.7728651129.

The spelling of 26938720 in words is "twenty-six million, nine hundred thirty-eight thousand, seven hundred twenty".