26806320 has 120 divisors (see below), whose sum is σ = 93005952. Its totient is φ = 6912000.

The previous prime is 26806313. The next prime is 26806327. The reversal of 26806320 is 2360862.

26806320 is a `hidden beast` number, since 26 + 8 + 0 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26806313) and next prime (26806327).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (26806327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21720 + ... + 22920.

Almost surely, 2^26806320 is an apocalyptic number.

26806320 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 26806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46502976).

26806320 is an abundant number, since it is smaller than the sum of its proper divisors (66199632).

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

26806320 is a wasteful number, since it uses less digits than its factorization.

26806320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26806320 is about 5177.4820134888. The cubic root of 26806320 is about 299.2809445746.

The spelling of 26806320 in words is "twenty-six million, eight hundred six thousand, three hundred twenty".