26064272 has 60 divisors (see below), whose sum is σ = 56702100. Its totient is φ = 11536896.

The previous prime is 26064271. The next prime is 26064277. The reversal of 26064272 is 27246062.

It can be written as a sum of positive squares in 6 ways, for example, as 3748096 + 22316176 = 1936^2 + 4724^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (26064271) 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, 174854 + ... + 175002.

It is an arithmetic number, because the mean of its divisors is an integer number (945035).

Almost surely, 2^26064272 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 26064272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28351050).

26064272 is an abundant number, since it is smaller than the sum of its proper divisors (30637828).

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

26064272 is a wasteful number, since it uses less digits than its factorization.

26064272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 26064272 is about 5105.3180116424. The cubic root of 26064272 is about 296.4935156462.

It can be divided in two parts, 260642 and 72, that multiplied together give a square (18766224 = 4332²).

The spelling of 26064272 in words is "twenty-six million, sixty-four thousand, two hundred seventy-two".