26741664 has 144 divisors (see below), whose sum is σ = 83472480. Its totient is φ = 8398080.

The previous prime is 26741641. The next prime is 26741677. The reversal of 26741664 is 46614762.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147654 + ... + 147834.

It is an arithmetic number, because the mean of its divisors is an integer number (579670).

Almost surely, 2^26741664 is an apocalyptic number.

26741664 is a gapful number since it is divisible by the number (24) 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 26741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41736240).

26741664 is an abundant number, since it is smaller than the sum of its proper divisors (56730816).

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

26741664 is a wasteful number, since it uses less digits than its factorization.

26741664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 26741664 is about 5171.2342820646. The cubic root of 26741664 is about 299.0401321210.

The spelling of 26741664 in words is "twenty-six million, seven hundred forty-one thousand, six hundred sixty-four".