26642560 has 128 divisors (see below), whose sum is σ = 76867200. Its totient is φ = 8626176.

The previous prime is 26642557. The next prime is 26642569. The reversal of 26642560 is 6524662.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (26642569) 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, 84964 + ... + 85276.

It is an arithmetic number, because the mean of its divisors is an integer number (600525).

It is a vampire number, since it can be written as 4256 ⋅ 6260 (with its own digits).

Almost surely, 2^26642560 is an apocalyptic number.

26642560 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 26642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38433600).

26642560 is an abundant number, since it is smaller than the sum of its proper divisors (50224640).

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

26642560 is a wasteful number, since it uses less digits than its factorization.

26642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 26642560 is about 5161.6431492307. The cubic root of 26642560 is about 298.6702628535.

The spelling of 26642560 in words is "twenty-six million, six hundred forty-two thousand, five hundred sixty".