26730864 has 80 divisors (see below), whose sum is σ = 78566400. Its totient is φ = 8697024.

The previous prime is 26730863. The next prime is 26730877. The reversal of 26730864 is 46803762.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26730863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17857 + ... + 19295.

It is an arithmetic number, because the mean of its divisors is an integer number (982080).

Almost surely, 2^26730864 is an apocalyptic number.

26730864 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 26730864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39283200).

26730864 is an abundant number, since it is smaller than the sum of its proper divisors (51835536).

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

26730864 is a wasteful number, since it uses less digits than its factorization.

26730864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1487 counting only the distinct ones).

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

The square root of 26730864 is about 5170.1899384839. The cubic root of 26730864 is about 298.9998695018. Note that the first 3 decimals are identical.

The spelling of 26730864 in words is "twenty-six million, seven hundred thirty thousand, eight hundred sixty-four".