26749152 has 72 divisors (see below), whose sum is σ = 76756680. Its totient is φ = 8835840.

The previous prime is 26749133. The next prime is 26749159. The reversal of 26749152 is 25194762.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26749159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37374 + ... + 38082.

It is an arithmetic number, because the mean of its divisors is an integer number (1066065).

Almost surely, 2^26749152 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 26749152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38378340).

26749152 is an abundant number, since it is smaller than the sum of its proper divisors (50007528).

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

26749152 is a wasteful number, since it uses less digits than its factorization.

26749152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 26749152 is about 5171.9582364903. The cubic root of 26749152 is about 299.0680411738.

The spelling of 26749152 in words is "twenty-six million, seven hundred forty-nine thousand, one hundred fifty-two".