26382240 has 192 divisors, whose sum is σ = 95800320. Its totient is φ = 6773760.

The previous prime is 26382233. The next prime is 26382253. The reversal of 26382240 is 4228362.

26382240 is a `hidden beast` number, since 2 + 638 + 2 + 24 + 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, 133822 + ... + 134018.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 2^26382240 is an apocalyptic number.

26382240 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 26382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

26382240 is an abundant number, since it is smaller than the sum of its proper divisors (69418080).

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

26382240 is a wasteful number, since it uses less digits than its factorization.

26382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 26382240 is about 5136.3644730490. The cubic root of 26382240 is about 297.6943249391.

The spelling of 26382240 in words is "twenty-six million, three hundred eighty-two thousand, two hundred forty".