27933640 has 64 divisors (see below), whose sum is σ = 72950400. Its totient is φ = 9427968.

The previous prime is 27933599. The next prime is 27933643. The reversal of 27933640 is 4633972.

It is a junction number, because it is equal to n+sod(n) for n = 27933596 and 27933605.

It is not an unprimeable number, because it can be changed into a prime (27933643) by changing a digit.

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, 18016 + ... + 19504.

It is an arithmetic number, because the mean of its divisors is an integer number (1139850).

Almost surely, 2^27933640 is an apocalyptic number.

27933640 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 27933640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36475200).

27933640 is an abundant number, since it is smaller than the sum of its proper divisors (45016760).

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

27933640 is a wasteful number, since it uses less digits than its factorization.

27933640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 27933640 is about 5285.2284718827. The cubic root of 27933640 is about 303.4188168953.

The spelling of 27933640 in words is "twenty-seven million, nine hundred thirty-three thousand, six hundred forty".