26938080 has 144 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 6626304.

The previous prime is 26938069. The next prime is 26938091. The reversal of 26938080 is 8083962.

It is an interprime number because it is at equal distance from previous prime (26938069) and next prime (26938091).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 18001 + ... + 19439.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^26938080 is an apocalyptic number.

26938080 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 26938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

26938080 is an abundant number, since it is smaller than the sum of its proper divisors (72128160).

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

26938080 is a wasteful number, since it uses less digits than its factorization.

26938080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 26938080 is about 5190.1907479398. The cubic root of 26938080 is about 299.7704911304.

The spelling of 26938080 in words is "twenty-six million, nine hundred thirty-eight thousand, eighty".