27266040 has 192 divisors, whose sum is σ = 96033600. Its totient is φ = 6690816.

The previous prime is 27266027. The next prime is 27266047. The reversal of 27266040 is 4066272.

27266040 = T₁₈₆ + T₁₈₇ + ... + T₅₅₃.

It is a junction number, because it is equal to n+sod(n) for n = 27265995 and 27266013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27266047) 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 47 ways as a sum of consecutive naturals, for example, 306316 + ... + 306404.

It is an arithmetic number, because the mean of its divisors is an integer number (500175).

Almost surely, 2^27266040 is an apocalyptic number.

27266040 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 27266040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48016800).

27266040 is an abundant number, since it is smaller than the sum of its proper divisors (68767560).

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

27266040 is a wasteful number, since it uses less digits than its factorization.

27266040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 27266040 is about 5221.6893817997. The cubic root of 27266040 is about 300.9821146608.

The spelling of 27266040 in words is "twenty-seven million, two hundred sixty-six thousand, forty".