26886000 has 80 divisors (see below), whose sum is σ = 86699808. Its totient is φ = 7168000.

The previous prime is 26885983. The next prime is 26886001. The reversal of 26886000 is 68862.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26886001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3760 + ... + 8240.

Almost surely, 2^26886000 is an apocalyptic number.

26886000 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 26886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43349904).

26886000 is an abundant number, since it is smaller than the sum of its proper divisors (59813808).

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

26886000 is a wasteful number, since it uses less digits than its factorization.

26886000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 26886000 is about 5185.1711640022. The cubic root of 26886000 is about 299.5771821413.

It can be divided in two parts, 268 and 86000, that added together give a palindrome (86268).

The spelling of 26886000 in words is "twenty-six million, eight hundred eighty-six thousand".