26133216 has 96 divisors (see below), whose sum is σ = 74027520. Its totient is φ = 8042496.

The previous prime is 26133209. The next prime is 26133223. The reversal of 26133216 is 61233162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26133209) and next prime (26133223).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 109225 + ... + 109463.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 2^26133216 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 26133216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

26133216 is an abundant number, since it is smaller than the sum of its proper divisors (47894304).

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

26133216 is a wasteful number, since it uses less digits than its factorization.

26133216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 26133216 is about 5112.0657272770. The cubic root of 26133216 is about 296.7547091015.

Adding to 26133216 its reverse (61233162), we get a palindrome (87366378).

The spelling of 26133216 in words is "twenty-six million, one hundred thirty-three thousand, two hundred sixteen".