27678420 has 144 divisors (see below), whose sum is σ = 104727168. Its totient is φ = 5748480.

The previous prime is 27678419. The next prime is 27678449. The reversal of 27678420 is 2487672.

It is a super-3 number, since 3×27678420³ (a number of 23 digits) contains 333 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 12862 + ... + 14858.

It is an arithmetic number, because the mean of its divisors is an integer number (727272).

Almost surely, 2^27678420 is an apocalyptic number.

27678420 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 27678420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52363584).

27678420 is an abundant number, since it is smaller than the sum of its proper divisors (77048748).

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

27678420 is a wasteful number, since it uses less digits than its factorization.

27678420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27678420 is about 5261.0284165741. The cubic root of 27678420 is about 302.4919106277.

The spelling of 27678420 in words is "twenty-seven million, six hundred seventy-eight thousand, four hundred twenty".