26538240 has 72 divisors (see below), whose sum is σ = 84768768. Its totient is φ = 7075840.

The previous prime is 26538227. The next prime is 26538257. The reversal of 26538240 is 4283562.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26538198 and 26538207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385 + ... + 7295.

It is an arithmetic number, because the mean of its divisors is an integer number (1177344).

Almost surely, 2^26538240 is an apocalyptic number.

26538240 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 26538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42384384).

26538240 is an abundant number, since it is smaller than the sum of its proper divisors (58230528).

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

26538240 is an equidigital number, since it uses as much as digits as its factorization.

26538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 26538240 is about 5151.5279286829. The cubic root of 26538240 is about 298.2799345421.

The spelling of 26538240 in words is "twenty-six million, five hundred thirty-eight thousand, two hundred forty".