26830440 has 360 divisors, whose sum is σ = 113593590. Its totient is φ = 5660928.

The previous prime is 26830429. The next prime is 26830457. The reversal of 26830440 is 4403862.

It can be written as a sum of positive squares in 3 ways, for example, as 11573604 + 15256836 = 3402^2 + 3906^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2063874 + ... + 2063886.

Almost surely, 2^26830440 is an apocalyptic number.

26830440 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 26830440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56796795).

26830440 is an abundant number, since it is smaller than the sum of its proper divisors (86763150).

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

26830440 is a wasteful number, since it uses less digits than its factorization.

26830440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 26830440 is about 5179.8108073558. The cubic root of 26830440 is about 299.3706807808.

The spelling of 26830440 in words is "twenty-six million, eight hundred thirty thousand, four hundred forty".