26760132 has 192 divisors, whose sum is σ = 88166400. Its totient is φ = 6928416.

The previous prime is 26760131. The next prime is 26760133. The reversal of 26760132 is 23106762.

It is a happy number.

26760132 is a `hidden beast` number, since 26 + 7 + 601 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (26760131) and next prime (26760133).

It is a super-2 number, since 2×26760132² = 1432209329314848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 26760096 and 26760105.

It is not an unprimeable number, because it can be changed into a prime (26760131) 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 63 ways as a sum of consecutive naturals, for example, 1163473 + ... + 1163495.

It is an arithmetic number, because the mean of its divisors is an integer number (459200).

Almost surely, 2^26760132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26760132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44083200).

26760132 is an abundant number, since it is smaller than the sum of its proper divisors (61406268).

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

26760132 is a wasteful number, since it uses less digits than its factorization.

26760132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 26760132 is about 5173.0196210724. The cubic root of 26760132 is about 299.1089560894.

Adding to 26760132 its reverse (23106762), we get a palindrome (49866894).

The spelling of 26760132 in words is "twenty-six million, seven hundred sixty thousand, one hundred thirty-two".