26803832 has 128 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 10137600.

The previous prime is 26803823. The next prime is 26803853. The reversal of 26803832 is 23830862.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653732 + ... + 653772.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^26803832 is an apocalyptic number.

26803832 is a gapful number since it is divisible by the number (22) 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 26803832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

26803832 is an abundant number, since it is smaller than the sum of its proper divisors (38514568).

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

26803832 is a wasteful number, since it uses less digits than its factorization.

26803832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 26803832 is about 5177.2417366779. The cubic root of 26803832 is about 299.2716851409.

The spelling of 26803832 in words is "twenty-six million, eight hundred three thousand, eight hundred thirty-two".