26816240 has 80 divisors (see below), whose sum is σ = 70281216. Its totient is φ = 9427200.

The previous prime is 26816227. The next prime is 26816249. The reversal of 26816240 is 4261862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×26816240² = 1438221455475200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26816249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26789 + ... + 27771.

Almost surely, 2^26816240 is an apocalyptic number.

26816240 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 26816240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35140608).

26816240 is an abundant number, since it is smaller than the sum of its proper divisors (43464976).

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

26816240 is a wasteful number, since it uses less digits than its factorization.

26816240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 26816240 is about 5178.4399195124. The cubic root of 26816240 is about 299.3178575218.

The spelling of 26816240 in words is "twenty-six million, eight hundred sixteen thousand, two hundred forty".