26049920 has 128 divisors (see below), whose sum is σ = 69914880. Its totient is φ = 9216000.

The previous prime is 26049913. The next prime is 26049941. The reversal of 26049920 is 2994062.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257870 + ... + 257970.

It is an arithmetic number, because the mean of its divisors is an integer number (546210).

Almost surely, 2^26049920 is an apocalyptic number.

26049920 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 26049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34957440).

26049920 is an abundant number, since it is smaller than the sum of its proper divisors (43864960).

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

26049920 is a wasteful number, since it uses less digits than its factorization.

26049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 26049920 is about 5103.9122249506. The cubic root of 26049920 is about 296.4390853745.

The spelling of 26049920 in words is "twenty-six million, forty-nine thousand, nine hundred twenty".