26520480 has 192 divisors, whose sum is σ = 106202880. Its totient is φ = 6054912.

The previous prime is 26520467. The next prime is 26520497. The reversal of 26520480 is 8402562.

26520480 is a `hidden beast` number, since 2 + 652 + 0 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 29802 + ... + 30678.

It is an arithmetic number, because the mean of its divisors is an integer number (553140).

Almost surely, 2^26520480 is an apocalyptic number.

26520480 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 26520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53101440).

26520480 is an abundant number, since it is smaller than the sum of its proper divisors (79682400).

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

26520480 is a wasteful number, since it uses less digits than its factorization.

26520480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 26520480 is about 5149.8038797609. The cubic root of 26520480 is about 298.2133810982.

It can be divided in two parts, 26520 and 480, that added together give a cube (27000 = 30³).

The spelling of 26520480 in words is "twenty-six million, five hundred twenty thousand, four hundred eighty".