26084268 has 180 divisors, whose sum is σ = 83426112. Its totient is φ = 7076160.

The previous prime is 26084251. The next prime is 26084269. The reversal of 26084268 is 86248062.

26084268 is a `hidden beast` number, since 2 + 608 + 42 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26084269) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 492130 + ... + 492182.

Almost surely, 2^26084268 is an apocalyptic number.

26084268 is a gapful number since it is divisible by the number (28) 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 26084268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41713056).

26084268 is an abundant number, since it is smaller than the sum of its proper divisors (57341844).

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

26084268 is a wasteful number, since it uses less digits than its factorization.

26084268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26084268 is about 5107.2759862768. The cubic root of 26084268 is about 296.5693176081.

The spelling of 26084268 in words is "twenty-six million, eighty-four thousand, two hundred sixty-eight".