26827164 has 144 divisors (see below), whose sum is σ = 88058880. Its totient is φ = 6687360.

The previous prime is 26827153. The next prime is 26827187. The reversal of 26827164 is 46172862.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 62029 + ... + 62459.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 2^26827164 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 26827164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

26827164 is an abundant number, since it is smaller than the sum of its proper divisors (61231716).

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

26827164 is a wasteful number, since it uses less digits than its factorization.

26827164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 475 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 26827164 is about 5179.4945699363. The cubic root of 26827164 is about 299.3584958860.

The spelling of 26827164 in words is "twenty-six million, eight hundred twenty-seven thousand, one hundred sixty-four".