26952640 has 224 divisors, whose sum is σ = 81930240. Its totient is φ = 8294400.

The previous prime is 26952593. The next prime is 26952641. The reversal of 26952640 is 4625962.

It is a junction number, because it is equal to n+sod(n) for n = 26952596 and 26952605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26952641) 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 31 ways as a sum of consecutive naturals, for example, 869425 + ... + 869455.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 2^26952640 is an apocalyptic number.

26952640 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 26952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965120).

26952640 is an abundant number, since it is smaller than the sum of its proper divisors (54977600).

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

26952640 is a wasteful number, since it uses less digits than its factorization.

26952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 26952640 is about 5191.5932044027. The cubic root of 26952640 is about 299.8244899333.

It can be divided in two parts, 2695 and 2640, that added together give a palindrome (5335).

The spelling of 26952640 in words is "twenty-six million, nine hundred fifty-two thousand, six hundred forty".