26938020 has 48 divisors (see below), whose sum is σ = 76563648. Its totient is φ = 7075200.

The previous prime is 26938019. The next prime is 26938031. The reversal of 26938020 is 2083962.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670 + ... + 7370.

It is an arithmetic number, because the mean of its divisors is an integer number (1595076).

Almost surely, 2^26938020 is an apocalyptic number.

26938020 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 26938020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38281824).

26938020 is an abundant number, since it is smaller than the sum of its proper divisors (49625628).

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

26938020 is a wasteful number, since it uses less digits than its factorization.

26938020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6780 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 26938020 is about 5190.1849678022. The cubic root of 26938020 is about 299.7702685676.

The spelling of 26938020 in words is "twenty-six million, nine hundred thirty-eight thousand, twenty".