26564880 has 120 divisors (see below), whose sum is σ = 87708672. Its totient is φ = 6649856.

The previous prime is 26564873. The next prime is 26564921. The reversal of 26564880 is 8846562.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69169 + ... + 69551.

Almost surely, 2^26564880 is an apocalyptic number.

26564880 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 26564880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43854336).

26564880 is an abundant number, since it is smaller than the sum of its proper divisors (61143792).

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

26564880 is a wasteful number, since it uses less digits than its factorization.

26564880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 26564880 is about 5154.1129207653. The cubic root of 26564880 is about 298.3797090569.

The spelling of 26564880 in words is "twenty-six million, five hundred sixty-four thousand, eight hundred eighty".