26683440 has 120 divisors (see below), whose sum is σ = 96266160. Its totient is φ = 6096384.

The previous prime is 26683417. The next prime is 26683441. The reversal of 26683440 is 4438662.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (26683441) 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, 10626 + ... + 12894.

It is an arithmetic number, because the mean of its divisors is an integer number (802218).

Almost surely, 2^26683440 is an apocalyptic number.

26683440 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 26683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48133080).

26683440 is an abundant number, since it is smaller than the sum of its proper divisors (69582720).

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

26683440 is a wasteful number, since it uses less digits than its factorization.

26683440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 26683440 is about 5165.6016106549. The cubic root of 26683440 is about 298.8229433879.

The spelling of 26683440 in words is "twenty-six million, six hundred eighty-three thousand, four hundred forty".