27956160 has 168 divisors, whose sum is σ = 101992176. Its totient is φ = 7004160.

The previous prime is 27956119. The next prime is 27956161. The reversal of 27956160 is 6165972.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27956161) 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 23 ways as a sum of consecutive naturals, for example, 48675 + ... + 49245.

Almost surely, 2^27956160 is an apocalyptic number.

27956160 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 27956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50996088).

27956160 is an abundant number, since it is smaller than the sum of its proper divisors (74036016).

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

27956160 is a wasteful number, since it uses less digits than its factorization.

27956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

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

The square root of 27956160 is about 5287.3585087452. The cubic root of 27956160 is about 303.5003333791.

The spelling of 27956160 in words is "twenty-seven million, nine hundred fifty-six thousand, one hundred sixty".