26729440 has 96 divisors (see below), whose sum is σ = 69237504. Its totient is φ = 9707520.

The previous prime is 26729431. The next prime is 26729489. The reversal of 26729440 is 4492762.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 26729396 and 26729405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84162 + ... + 84478.

It is an arithmetic number, because the mean of its divisors is an integer number (721224).

Almost surely, 2^26729440 is an apocalyptic number.

26729440 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 26729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34618752).

26729440 is an abundant number, since it is smaller than the sum of its proper divisors (42508064).

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

26729440 is a wasteful number, since it uses less digits than its factorization.

26729440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 26729440 is about 5170.0522241076. The cubic root of 26729440 is about 298.9945599917.

The spelling of 26729440 in words is "twenty-six million, seven hundred twenty-nine thousand, four hundred forty".