26884440 has 256 divisors, whose sum is σ = 102297600. Its totient is φ = 6220800.

The previous prime is 26884427. The next prime is 26884457. The reversal of 26884440 is 4448862.

It is a super-2 number, since 2×26884440² = 1445546228227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 26884395 and 26884404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368244 + ... + 368316.

It is an arithmetic number, because the mean of its divisors is an integer number (399600).

Almost surely, 2^26884440 is an apocalyptic number.

26884440 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 26884440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51148800).

26884440 is an abundant number, since it is smaller than the sum of its proper divisors (75413160).

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

26884440 is a wasteful number, since it uses less digits than its factorization.

26884440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 26884440 is about 5185.0207328419. The cubic root of 26884440 is about 299.5713879306.

The spelling of 26884440 in words is "twenty-six million, eight hundred eighty-four thousand, four hundred forty".