26642000 has 160 divisors (see below), whose sum is σ = 80780544. Its totient is φ = 8256000.

The previous prime is 26641999. The next prime is 26642003. The reversal of 26642000 is 24662.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26642003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153914 + ... + 154086.

Almost surely, 2^26642000 is an apocalyptic number.

26642000 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 26642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40390272).

26642000 is an abundant number, since it is smaller than the sum of its proper divisors (54138544).

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

26642000 is a wasteful number, since it uses less digits than its factorization.

26642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 26642000 is about 5161.5889026539. The cubic root of 26642000 is about 298.6681702553.

Adding to 26642000 its reverse (24662), we get a palindrome (26666662).

It can be divided in two parts, 2664 and 2000, that added together give a palindrome (4664).

The spelling of 26642000 in words is "twenty-six million, six hundred forty-two thousand".