27877140 has 36 divisors (see below), whose sum is σ = 84561204. Its totient is φ = 7433856.

The previous prime is 27877133. The next prime is 27877141. The reversal of 27877140 is 4177872.

It can be written as a sum of positive squares in 2 ways, for example, as 11861136 + 16016004 = 3444^2 + 4002^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 27877095 and 27877104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27877141) 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 11 ways as a sum of consecutive naturals, for example, 77257 + ... + 77616.

Almost surely, 2^27877140 is an apocalyptic number.

27877140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27877140 is an abundant number, since it is smaller than the sum of its proper divisors (56684064).

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

27877140 is a wasteful number, since it uses less digits than its factorization.

27877140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154888 (or 154883 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 27877140 is about 5279.8806804700. The cubic root of 27877140 is about 303.2141087087.

The spelling of 27877140 in words is "twenty-seven million, eight hundred seventy-seven thousand, one hundred forty".