27405540 has 72 divisors (see below), whose sum is σ = 86224320. Its totient is φ = 7306848.

The previous prime is 27405529. The next prime is 27405541. The reversal of 27405540 is 4550472.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27405541) 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 23 ways as a sum of consecutive naturals, for example, 2041 + ... + 7679.

It is an arithmetic number, because the mean of its divisors is an integer number (1197560).

Almost surely, 2^27405540 is an apocalyptic number.

27405540 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 27405540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43112160).

27405540 is an abundant number, since it is smaller than the sum of its proper divisors (58818780).

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

27405540 is a wasteful number, since it uses less digits than its factorization.

27405540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 27405540 is about 5235.0300858734. The cubic root of 27405540 is about 301.4945421155.

The spelling of 27405540 in words is "twenty-seven million, four hundred five thousand, five hundred forty".