27923040 has 72 divisors (see below), whose sum is σ = 95292288. Its totient is φ = 7445760.

The previous prime is 27923017. The next prime is 27923053. The reversal of 27923040 is 4032972.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 27922995 and 27923013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8256 + ... + 11135.

It is an arithmetic number, because the mean of its divisors is an integer number (1323504).

Almost surely, 2^27923040 is an apocalyptic number.

27923040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27923040 is an abundant number, since it is smaller than the sum of its proper divisors (67369248).

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

27923040 is a wasteful number, since it uses less digits than its factorization.

27923040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19412 (or 19401 counting only the distinct ones).

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

The square root of 27923040 is about 5284.2255818615. The cubic root of 27923040 is about 303.3804325152.

It can be divided in two parts, 2792 and 3040, that added together give a cube (5832 = 18³).

The spelling of 27923040 in words is "twenty-seven million, nine hundred twenty-three thousand, forty".