26088480 has 288 divisors, whose sum is σ = 102368448. Its totient is φ = 6220800.

The previous prime is 26088479. The next prime is 26088497. The reversal of 26088480 is 8488062.

26088480 is a `hidden beast` number, since 2 + 608 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427650 + ... + 427710.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 2^26088480 is an apocalyptic number.

26088480 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 26088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51184224).

26088480 is an abundant number, since it is smaller than the sum of its proper divisors (76279968).

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

26088480 is a wasteful number, since it uses less digits than its factorization.

26088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 26088480 is about 5107.6883225193. The cubic root of 26088480 is about 296.5852797548.

The spelling of 26088480 in words is "twenty-six million, eighty-eight thousand, four hundred eighty".