26638000 has 80 divisors (see below), whose sum is σ = 67897440. Its totient is φ = 10080000.

The previous prime is 26637991. The next prime is 26638009. The reversal of 26638000 is 83662.

It is an interprime number because it is at equal distance from previous prime (26637991) and next prime (26638009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (26638009) 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, 37650 + ... + 38350.

It is an arithmetic number, because the mean of its divisors is an integer number (848718).

Almost surely, 2^26638000 is an apocalyptic number.

26638000 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 26638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33948720).

26638000 is an abundant number, since it is smaller than the sum of its proper divisors (41259440).

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

26638000 is a wasteful number, since it uses less digits than its factorization.

26638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 727 counting only the distinct ones).

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

The square root of 26638000 is about 5161.2014105245. The cubic root of 26638000 is about 298.6532222725.

The spelling of 26638000 in words is "twenty-six million, six hundred thirty-eight thousand".