26408720 has 80 divisors (see below), whose sum is σ = 67287360. Its totient is φ = 9580032.

The previous prime is 26408719. The next prime is 26408729. The reversal of 26408720 is 2780462.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (26408729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69491 + ... + 69869.

It is an arithmetic number, because the mean of its divisors is an integer number (841092).

Almost surely, 2^26408720 is an apocalyptic number.

26408720 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 26408720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33643680).

26408720 is an abundant number, since it is smaller than the sum of its proper divisors (40878640).

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

26408720 is a wasteful number, since it uses less digits than its factorization.

26408720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 26408720 is about 5138.9415252560. The cubic root of 26408720 is about 297.7938907809.

The spelling of 26408720 in words is "twenty-six million, four hundred eight thousand, seven hundred twenty".