26526960 has 80 divisors (see below), whose sum is σ = 91378080. Its totient is φ = 7073280.

The previous prime is 26526937. The next prime is 26526961. The reversal of 26526960 is 6962562.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26526961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3981 + ... + 8300.

It is an arithmetic number, because the mean of its divisors is an integer number (1142226).

Almost surely, 2^26526960 is an apocalyptic number.

26526960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26526960 is an abundant number, since it is smaller than the sum of its proper divisors (64851120).

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

26526960 is a wasteful number, since it uses less digits than its factorization.

26526960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12303 (or 12291 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 26526960 is about 5150.4329915066. The cubic root of 26526960 is about 298.2376675533.

It can be divided in two parts, 265 and 26960, that added together give a square (27225 = 165²).

The spelling of 26526960 in words is "twenty-six million, five hundred twenty-six thousand, nine hundred sixty".