26538480 has 240 divisors, whose sum is σ = 97493760. Its totient is φ = 6451200.

The previous prime is 26538469. The next prime is 26538517. The reversal of 26538480 is 8483562.

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647260 + ... + 647300.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^26538480 is an apocalyptic number.

26538480 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 26538480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

26538480 is an abundant number, since it is smaller than the sum of its proper divisors (70955280).

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

26538480 is a wasteful number, since it uses less digits than its factorization.

26538480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 26538480 is about 5151.5512226901. The cubic root of 26538480 is about 298.2808337096.

The spelling of 26538480 in words is "twenty-six million, five hundred thirty-eight thousand, four hundred eighty".