27431040 has 256 divisors, whose sum is σ = 108299520. Its totient is φ = 5750784.

The previous prime is 27431017. The next prime is 27431057. The reversal of 27431040 is 4013472.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 27430998 and 27431016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174642 + ... + 174798.

It is an arithmetic number, because the mean of its divisors is an integer number (423045).

Almost surely, 2^27431040 is an apocalyptic number.

27431040 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 27431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54149760).

27431040 is an abundant number, since it is smaller than the sum of its proper divisors (80868480).

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

27431040 is a wasteful number, since it uses less digits than its factorization.

27431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 27431040 is about 5237.4650356828. The cubic root of 27431040 is about 301.5880235495.

The spelling of 27431040 in words is "twenty-seven million, four hundred thirty-one thousand, forty".