27312040 has 64 divisors (see below), whose sum is σ = 73301760. Its totient is φ = 8954880.

The previous prime is 27312011. The next prime is 27312083. The reversal of 27312040 is 4021372.

It is a junction number, because it is equal to n+sod(n) for n = 27311999 and 27312017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4320 + ... + 8560.

It is an arithmetic number, because the mean of its divisors is an integer number (1145340).

Almost surely, 2^27312040 is an apocalyptic number.

27312040 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 27312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36650880).

27312040 is an abundant number, since it is smaller than the sum of its proper divisors (45989720).

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

27312040 is a wasteful number, since it uses less digits than its factorization.

27312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 27312040 is about 5226.0922303381. The cubic root of 27312040 is about 301.1512799006.

The spelling of 27312040 in words is "twenty-seven million, three hundred twelve thousand, forty".