26088000 has 112 divisors (see below), whose sum is σ = 86221824. Its totient is φ = 6950400.

The previous prime is 26087989. The next prime is 26088001. The reversal of 26088000 is 88062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (26088001) 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, 23457 + ... + 24543.

Almost surely, 2^26088000 is an apocalyptic number.

26088000 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 26088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43110912).

26088000 is an abundant number, since it is smaller than the sum of its proper divisors (60133824).

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

26088000 is a wasteful number, since it uses less digits than its factorization.

26088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 26088000 is about 5107.6413343147. The cubic root of 26088000 is about 296.5834607935.

The spelling of 26088000 in words is "twenty-six million, eighty-eight thousand".