26082000 has 400 divisors, whose sum is σ = 112349952. Its totient is φ = 5702400.

The previous prime is 26081987. The next prime is 26082019. The reversal of 26082000 is 28062.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1133989 + ... + 1134011.

Almost surely, 2^26082000 is an apocalyptic number.

26082000 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 26082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56174976).

26082000 is an abundant number, since it is smaller than the sum of its proper divisors (86267952).

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

26082000 is a wasteful number, since it uses less digits than its factorization.

26082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 26082000 is about 5107.0539452800. The cubic root of 26082000 is about 296.5607218943.

The spelling of 26082000 in words is "twenty-six million, eighty-two thousand".