26938560 has 112 divisors (see below), whose sum is σ = 93341952. Its totient is φ = 6528000.

The previous prime is 26938559. The next prime is 26938579. The reversal of 26938560 is 6583962.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9285 + ... + 11835.

Almost surely, 2^26938560 is an apocalyptic number.

26938560 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 26938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46670976).

26938560 is an abundant number, since it is smaller than the sum of its proper divisors (66403392).

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

26938560 is a wasteful number, since it uses less digits than its factorization.

26938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 26938560 is about 5190.2369888089. The cubic root of 26938560 is about 299.7722716208.

The spelling of 26938560 in words is "twenty-six million, nine hundred thirty-eight thousand, five hundred sixty".