26449920 has 288 divisors, whose sum is σ = 107321760. Its totient is φ = 5898240.

The previous prime is 26449903. The next prime is 26449933. The reversal of 26449920 is 2994462.

26449920 is a `hidden beast` number, since 2 + 644 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645100 + ... + 645140.

It is an arithmetic number, because the mean of its divisors is an integer number (372645).

Almost surely, 2^26449920 is an apocalyptic number.

26449920 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 26449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

26449920 is an abundant number, since it is smaller than the sum of its proper divisors (80871840).

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

26449920 is a wasteful number, since it uses less digits than its factorization.

26449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 26449920 is about 5142.9485706159. The cubic root of 26449920 is about 297.9486721501.

The spelling of 26449920 in words is "twenty-six million, four hundred forty-nine thousand, nine hundred twenty".