27932040 has 160 divisors (see below), whose sum is σ = 96833880. Its totient is φ = 7216128.

The previous prime is 27932011. The next prime is 27932041. The reversal of 27932040 is 4023972.

It can be written as a sum of positive squares in 4 ways, for example, as 23794884 + 4137156 = 4878^2 + 2034^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 27931995 and 27932013.

It is not an unprimeable number, because it can be changed into a prime (27932041) 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 39 ways as a sum of consecutive naturals, for example, 119764 + ... + 119996.

Almost surely, 2^27932040 is an apocalyptic number.

27932040 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 27932040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48416940).

27932040 is an abundant number, since it is smaller than the sum of its proper divisors (68901840).

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

27932040 is a wasteful number, since it uses less digits than its factorization.

27932040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 27932040 is about 5285.0771044517. The cubic root of 27932040 is about 303.4130236490.

The spelling of 27932040 in words is "twenty-seven million, nine hundred thirty-two thousand, forty".