26776960 has 128 divisors (see below), whose sum is σ = 75398400. Its totient is φ = 8902656.

The previous prime is 26776957. The next prime is 26776961. The reversal of 26776960 is 6967762.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26776961) 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, 192571 + ... + 192709.

It is an arithmetic number, because the mean of its divisors is an integer number (589050).

Almost surely, 2^26776960 is an apocalyptic number.

26776960 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 26776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37699200).

26776960 is an abundant number, since it is smaller than the sum of its proper divisors (48621440).

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

26776960 is a wasteful number, since it uses less digits than its factorization.

26776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The square root of 26776960 is about 5174.6458816039. The cubic root of 26776960 is about 299.1716407677.

The spelling of 26776960 in words is "twenty-six million, seven hundred seventy-six thousand, nine hundred sixty".