26984736 has 72 divisors (see below), whose sum is σ = 78558480. Its totient is φ = 8781696.

The previous prime is 26984717. The next prime is 26984801. The reversal of 26984736 is 63748962.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 26984691 and 26984700.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11295 + ... + 13473.

It is an arithmetic number, because the mean of its divisors is an integer number (1091090).

Almost surely, 2^26984736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26984736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39279240).

26984736 is an abundant number, since it is smaller than the sum of its proper divisors (51573744).

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

26984736 is a wasteful number, since it uses less digits than its factorization.

26984736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2227 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 26984736 is about 5194.6834359757. The cubic root of 26984736 is about 299.9434560099.

The spelling of 26984736 in words is "twenty-six million, nine hundred eighty-four thousand, seven hundred thirty-six".