26706960 has 180 divisors, whose sum is σ = 104472108. Its totient is φ = 6096384.

The previous prime is 26706947. The next prime is 26706991. The reversal of 26706960 is 6960762.

It can be written as a sum of positive squares in 2 ways, for example, as 13046544 + 13660416 = 3612^2 + 3696^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34902 + ... + 35658.

Almost surely, 2^26706960 is an apocalyptic number.

26706960 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 26706960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52236054).

26706960 is an abundant number, since it is smaller than the sum of its proper divisors (77765148).

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

26706960 is a wasteful number, since it uses less digits than its factorization.

26706960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 26706960 is about 5167.8777075314. The cubic root of 26706960 is about 298.9107163239.

The spelling of 26706960 in words is "twenty-six million, seven hundred six thousand, nine hundred sixty".