26016480 has 288 divisors, whose sum is σ = 106142400. Its totient is φ = 5677056.

The previous prime is 26016449. The next prime is 26016499. The reversal of 26016480 is 8461062.

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

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, 292276 + ... + 292364.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^26016480 is an apocalyptic number.

26016480 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 26016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

26016480 is an abundant number, since it is smaller than the sum of its proper divisors (80125920).

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

26016480 is a wasteful number, since it uses less digits than its factorization.

26016480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26016480 is about 5100.6352545541. The cubic root of 26016480 is about 296.3121858454.

The spelling of 26016480 in words is "twenty-six million, sixteen thousand, four hundred eighty".