26082672 has 80 divisors (see below), whose sum is σ = 84018432. Its totient is φ = 6773760.

The previous prime is 26082671. The next prime is 26082677. The reversal of 26082672 is 27628062.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26082671) 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, 168 + ... + 7224.

Almost surely, 2^26082672 is an apocalyptic number.

26082672 is a gapful number since it is divisible by the number (22) 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 26082672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42009216).

26082672 is an abundant number, since it is smaller than the sum of its proper divisors (57935760).

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

26082672 is a wasteful number, since it uses less digits than its factorization.

26082672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 26082672 is about 5107.1197362114. The cubic root of 26082672 is about 296.5632688244.

The spelling of 26082672 in words is "twenty-six million, eighty-two thousand, six hundred seventy-two".