26745984 has 128 divisors (see below), whose sum is σ = 80784000. Its totient is φ = 8709120.

The previous prime is 26745967. The next prime is 26745989. The reversal of 26745984 is 48954762.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26745989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245322 + ... + 245430.

It is an arithmetic number, because the mean of its divisors is an integer number (631125).

Almost surely, 2^26745984 is an apocalyptic number.

26745984 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 26745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40392000).

26745984 is an abundant number, since it is smaller than the sum of its proper divisors (54038016).

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

26745984 is a wasteful number, since it uses less digits than its factorization.

26745984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 185 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 26745984 is about 5171.6519604475. The cubic root of 26745984 is about 299.0562341333.

The spelling of 26745984 in words is "twenty-six million, seven hundred forty-five thousand, nine hundred eighty-four".