27932640 has 48 divisors (see below), whose sum is σ = 87989328. Its totient is φ = 7448576.

The previous prime is 27932629. The next prime is 27932657. The reversal of 27932640 is 4623972.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 28617 + ... + 29576.

It is an arithmetic number, because the mean of its divisors is an integer number (1833111).

Almost surely, 2^27932640 is an apocalyptic number.

27932640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27932640 is an abundant number, since it is smaller than the sum of its proper divisors (60056688).

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

27932640 is a wasteful number, since it uses less digits than its factorization.

27932640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58211 (or 58203 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 27932640 is about 5285.1338677464. The cubic root of 27932640 is about 303.4151961423.

The spelling of 27932640 in words is "twenty-seven million, nine hundred thirty-two thousand, six hundred forty".