26768352 has 96 divisors (see below), whose sum is σ = 76839840. Its totient is φ = 8110080.

The previous prime is 26768351. The next prime is 26768369. The reversal of 26768352 is 25386762.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 26768352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26768351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110952 + ... + 111192.

It is an arithmetic number, because the mean of its divisors is an integer number (800415).

Almost surely, 2^26768352 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 26768352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38419920).

26768352 is an abundant number, since it is smaller than the sum of its proper divisors (50071488).

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

26768352 is a wasteful number, since it uses less digits than its factorization.

26768352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 26768352 is about 5173.8140670109. The cubic root of 26768352 is about 299.1395790563.

It can be divided in two parts, 267 and 68352, that multiplied together give a square (18249984 = 4272²).

The spelling of 26768352 in words is "twenty-six million, seven hundred sixty-eight thousand, three hundred fifty-two".