27405040 has 60 divisors (see below), whose sum is σ = 69029064. Its totient is φ = 10113792.

The previous prime is 27405031. The next prime is 27405041. The reversal of 27405040 is 4050472.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27405041) 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 11 ways as a sum of consecutive naturals, for example, 12507 + ... + 14533.

Almost surely, 2^27405040 is an apocalyptic number.

27405040 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 27405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34514532).

27405040 is an abundant number, since it is smaller than the sum of its proper divisors (41624024).

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

27405040 is a wasteful number, since it uses less digits than its factorization.

27405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 27405040 is about 5234.9823304382. The cubic root of 27405040 is about 301.4927085667.

The spelling of 27405040 in words is "twenty-seven million, four hundred five thousand, forty".