26764720 has 40 divisors (see below), whose sum is σ = 63094176. Its totient is φ = 10556928.

The previous prime is 26764679. The next prime is 26764723. The reversal of 26764720 is 2746762.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (26764723) 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 7 ways as a sum of consecutive naturals, for example, 3549 + ... + 8131.

Almost surely, 2^26764720 is an apocalyptic number.

26764720 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 26764720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31547088).

26764720 is an abundant number, since it is smaller than the sum of its proper divisors (36329456).

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

26764720 is a wasteful number, since it uses less digits than its factorization.

26764720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 26764720 is about 5173.4630567928. The cubic root of 26764720 is about 299.1260490976.

It can be divided in two parts, 2676 and 4720, that added together give a square (7396 = 86²).

The spelling of 26764720 in words is "twenty-six million, seven hundred sixty-four thousand, seven hundred twenty".