27959040 has 144 divisors (see below), whose sum is σ = 99338400. Its totient is φ = 7446528.

The previous prime is 27959021. The next prime is 27959047. The reversal of 27959040 is 4095972.

27959040 is a `hidden beast` number, since 27 + 9 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 27958986 and 27959004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27959047) 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 15 ways as a sum of consecutive naturals, for example, 34156 + ... + 34964.

It is an arithmetic number, because the mean of its divisors is an integer number (689850).

Almost surely, 2^27959040 is an apocalyptic number.

27959040 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 27959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49669200).

27959040 is an abundant number, since it is smaller than the sum of its proper divisors (71379360).

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

27959040 is an equidigital number, since it uses as much as digits as its factorization.

27959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 27959040 is about 5287.6308494448. The cubic root of 27959040 is about 303.5107550649.

It can be divided in two parts, 279 and 59040, that added together give a cube (59319 = 39³).

The spelling of 27959040 in words is "twenty-seven million, nine hundred fifty-nine thousand, forty".