26794080 has 144 divisors (see below), whose sum is σ = 95528160. Its totient is φ = 6825984.

The previous prime is 26794069. The next prime is 26794081. The reversal of 26794080 is 8049762.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26794081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32716 + ... + 33524.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 2^26794080 is an apocalyptic number.

26794080 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 26794080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764080).

26794080 is an abundant number, since it is smaller than the sum of its proper divisors (68734080).

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

26794080 is a wasteful number, since it uses less digits than its factorization.

26794080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 26794080 is about 5176.2998367560. The cubic root of 26794080 is about 299.2353862081.

The spelling of 26794080 in words is "twenty-six million, seven hundred ninety-four thousand, eighty".