26414496 has 72 divisors (see below), whose sum is σ = 76982724. Its totient is φ = 8586240.

The previous prime is 26414491. The next prime is 26414543. The reversal of 26414496 is 69441462.

26414496 is a `hidden beast` number, since 2 + 641 + 4 + 4 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26010000 + 404496 = 5100^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26414496.

It is not an unprimeable number, because it can be changed into a prime (26414491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10690 + ... + 12926.

Almost surely, 2^26414496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26414496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38491362).

26414496 is an abundant number, since it is smaller than the sum of its proper divisors (50568228).

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

26414496 is a wasteful number, since it uses less digits than its factorization.

26414496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2283 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 26414496 is about 5139.5034779636. The cubic root of 26414496 is about 297.8155999251.

The spelling of 26414496 in words is "twenty-six million, four hundred fourteen thousand, four hundred ninety-six".