26552960 has 64 divisors (see below), whose sum is σ = 72558720. Its totient is φ = 9102336.

The previous prime is 26552923. The next prime is 26552969. The reversal of 26552960 is 6925562.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 26552960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26552969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1517 + ... + 7443.

It is an arithmetic number, because the mean of its divisors is an integer number (1133730).

Almost surely, 2^26552960 is an apocalyptic number.

26552960 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 26552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36279360).

26552960 is an abundant number, since it is smaller than the sum of its proper divisors (46005760).

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

26552960 is an equidigital number, since it uses as much as digits as its factorization.

26552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5953 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 26552960 is about 5152.9564329616. The cubic root of 26552960 is about 298.3350734548.

The spelling of 26552960 in words is "twenty-six million, five hundred fifty-two thousand, nine hundred sixty".