26400132 has 72 divisors (see below), whose sum is σ = 73426080. Its totient is φ = 7931520.

The previous prime is 26400119. The next prime is 26400161. The reversal of 26400132 is 23100462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 64344 + ... + 64752.

Almost surely, 2^26400132 is an apocalyptic number.

26400132 is a gapful number since it is divisible by the number (22) 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 26400132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36713040).

26400132 is an abundant number, since it is smaller than the sum of its proper divisors (47025948).

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

26400132 is a wasteful number, since it uses less digits than its factorization.

26400132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 26400132 is about 5138.1058766826. The cubic root of 26400132 is about 297.7616068585.

Adding to 26400132 its reverse (23100462), we get a palindrome (49500594).

The spelling of 26400132 in words is "twenty-six million, four hundred thousand, one hundred thirty-two".