26368000 has 96 divisors (see below), whose sum is σ = 66437280. Its totient is φ = 10444800.

The previous prime is 26367983. The next prime is 26368009. The reversal of 26368000 is 86362.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26368009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255949 + ... + 256051.

It is an arithmetic number, because the mean of its divisors is an integer number (692055).

Almost surely, 2^26368000 is an apocalyptic number.

26368000 is a gapful number since it is divisible by the number (20) 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 26368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33218640).

26368000 is an abundant number, since it is smaller than the sum of its proper divisors (40069280).

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

26368000 is an equidigital number, since it uses as much as digits as its factorization.

26368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 26368000 is about 5134.9780914820. The cubic root of 26368000 is about 297.6407544295.

The spelling of 26368000 in words is "twenty-six million, three hundred sixty-eight thousand".