26752224 has 48 divisors (see below), whose sum is σ = 70640640. Its totient is φ = 8864640.

The previous prime is 26752223. The next prime is 26752249. The reversal of 26752224 is 42225762.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 26752191 and 26752200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26752223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17607 + ... + 19065.

It is an arithmetic number, because the mean of its divisors is an integer number (1471680).

Almost surely, 2^26752224 is an apocalyptic number.

26752224 is a gapful number since it is divisible by the number (24) 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 26752224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35320320).

26752224 is an abundant number, since it is smaller than the sum of its proper divisors (43888416).

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

26752224 is a wasteful number, since it uses less digits than its factorization.

26752224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1655 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 26752224 is about 5172.2552141208. The cubic root of 26752224 is about 299.0794895349.

Adding to 26752224 its reverse (42225762), we get a palindrome (68977986).

It can be divided in two parts, 267522 and 24, that added together give a triangular number (267546 = T₇₃₁).

The spelling of 26752224 in words is "twenty-six million, seven hundred fifty-two thousand, two hundred twenty-four".