26345376 has 72 divisors (see below), whose sum is σ = 79341444. Its totient is φ = 8263680.

The previous prime is 26345353. The next prime is 26345377. The reversal of 26345376 is 67354362.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 90000 = 5124^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 26345376.

It is not an unprimeable number, because it can be changed into a prime (26345377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2206 + ... + 7586.

Almost surely, 2^26345376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26345376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39670722).

26345376 is an abundant number, since it is smaller than the sum of its proper divisors (52996068).

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

26345376 is a wasteful number, since it uses less digits than its factorization.

26345376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414 (or 5403 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 26345376 is about 5132.7746882169. The cubic root of 26345376 is about 297.5556038525. Note that the first 3 decimals are identical.

The spelling of 26345376 in words is "twenty-six million, three hundred forty-five thousand, three hundred seventy-six".