26738880 has 224 divisors, whose sum is σ = 101827584. Its totient is φ = 5812224.

The previous prime is 26738879. The next prime is 26738927. The reversal of 26738880 is 8883762.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154474 + ... + 154646.

Almost surely, 2^26738880 is an apocalyptic number.

26738880 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 26738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50913792).

26738880 is an abundant number, since it is smaller than the sum of its proper divisors (75088704).

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

26738880 is a wasteful number, since it uses less digits than its factorization.

26738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 26738880 is about 5170.9650936745. The cubic root of 26738880 is about 299.0297543497.

The spelling of 26738880 in words is "twenty-six million, seven hundred thirty-eight thousand, eight hundred eighty".