26748480 has 224 divisors, whose sum is σ = 98755200. Its totient is φ = 6062080.

The previous prime is 26748479. The next prime is 26748487. The reversal of 26748480 is 8484762.

It is not an unprimeable number, because it can be changed into a prime (26748487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179446 + ... + 179594.

Almost surely, 2^26748480 is an apocalyptic number.

26748480 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 26748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49377600).

26748480 is an abundant number, since it is smaller than the sum of its proper divisors (72006720).

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

26748480 is a wasteful number, since it uses less digits than its factorization.

26748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 26748480 is about 5171.8932703605. The cubic root of 26748480 is about 299.0655367280.

The spelling of 26748480 in words is "twenty-six million, seven hundred forty-eight thousand, four hundred eighty".