26405680 has 80 divisors (see below), whose sum is σ = 71406144. Its totient is φ = 8893440.

The previous prime is 26405663. The next prime is 26405693. The reversal of 26405680 is 8650462.

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

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, 33774 + ... + 34546.

Almost surely, 2^26405680 is an apocalyptic number.

26405680 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 26405680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35703072).

26405680 is an abundant number, since it is smaller than the sum of its proper divisors (45000464).

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

26405680 is a wasteful number, since it uses less digits than its factorization.

26405680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 26405680 is about 5138.6457359892. The cubic root of 26405680 is about 297.7824636442.

The spelling of 26405680 in words is "twenty-six million, four hundred five thousand, six hundred eighty".