26652560 has 80 divisors (see below), whose sum is σ = 69852672. Its totient is φ = 9369600.

The previous prime is 26652541. The next prime is 26652581. The reversal of 26652560 is 6525662.

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

It is a super-3 number, since 3×26652560³ (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26792 + ... + 27768.

Almost surely, 2^26652560 is an apocalyptic number.

26652560 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 26652560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34926336).

26652560 is an abundant number, since it is smaller than the sum of its proper divisors (43200112).

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

26652560 is a wasteful number, since it uses less digits than its factorization.

26652560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 26652560 is about 5162.6117421321. The cubic root of 26652560 is about 298.7076257425.

It can be divided in two parts, 2665 and 2560, that added together give a palindrome (5225).

The spelling of 26652560 in words is "twenty-six million, six hundred fifty-two thousand, five hundred sixty".