26193440 has 144 divisors (see below), whose sum is σ = 77824152. Its totient is φ = 8257536.

The previous prime is 26193437. The next prime is 26193443. The reversal of 26193440 is 4439162.

It is an interprime number because it is at equal distance from previous prime (26193437) and next prime (26193443).

It can be written as a sum of positive squares in 4 ways, for example, as 23464336 + 2729104 = 4844^2 + 1652^2 .

It is not an unprimeable number, because it can be changed into a prime (26193443) 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, 101792 + ... + 102048.

Almost surely, 2^26193440 is an apocalyptic number.

26193440 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 26193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38912076).

26193440 is an abundant number, since it is smaller than the sum of its proper divisors (51630712).

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

26193440 is a wasteful number, since it uses less digits than its factorization.

26193440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 26193440 is about 5117.9527156862. The cubic root of 26193440 is about 296.9824913061.

The spelling of 26193440 in words is "twenty-six million, one hundred ninety-three thousand, four hundred forty".