26001440 has 48 divisors (see below), whose sum is σ = 62075160. Its totient is φ = 10291200.

The previous prime is 26001419. The next prime is 26001463. The reversal of 26001440 is 4410062.

It can be written as a sum of positive squares in 4 ways, for example, as 25441936 + 559504 = 5044^2 + 748^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15356 + ... + 16964.

Almost surely, 2^26001440 is an apocalyptic number.

26001440 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 26001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31037580).

26001440 is an abundant number, since it is smaller than the sum of its proper divisors (36073720).

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

26001440 is a wasteful number, since it uses less digits than its factorization.

26001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 26001440 is about 5099.1607152550. The cubic root of 26001440 is about 296.2550759633.

The spelling of 26001440 in words is "twenty-six million, one thousand, four hundred forty".