26754960 has 80 divisors (see below), whose sum is σ = 84994560. Its totient is φ = 6958080.

The previous prime is 26754947. The next prime is 26754977. The reversal of 26754960 is 6945762.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8481 + ... + 11199.

It is an arithmetic number, because the mean of its divisors is an integer number (1062432).

Almost surely, 2^26754960 is an apocalyptic number.

26754960 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 26754960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497280).

26754960 is an abundant number, since it is smaller than the sum of its proper divisors (58239600).

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

26754960 is a wasteful number, since it uses less digits than its factorization.

26754960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 26754960 is about 5172.5196954676. The cubic root of 26754960 is about 299.0896849936.

The spelling of 26754960 in words is "twenty-six million, seven hundred fifty-four thousand, nine hundred sixty".