26845920 has 144 divisors (see below), whose sum is σ = 93012192. Its totient is φ = 7050240.

The previous prime is 26845919. The next prime is 26845927. The reversal of 26845920 is 2954862.

It is a happy number.

26845920 is a `hidden beast` number, since 2 + 68 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26845927) 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 23 ways as a sum of consecutive naturals, for example, 148230 + ... + 148410.

It is an arithmetic number, because the mean of its divisors is an integer number (645918).

Almost surely, 2^26845920 is an apocalyptic number.

26845920 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 26845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46506096).

26845920 is an abundant number, since it is smaller than the sum of its proper divisors (66166272).

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

26845920 is a wasteful number, since it uses less digits than its factorization.

26845920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 26845920 is about 5181.3048549569. The cubic root of 26845920 is about 299.4282443438.

The spelling of 26845920 in words is "twenty-six million, eight hundred forty-five thousand, nine hundred twenty".