27974160 has 120 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 7454592.

The previous prime is 27974143. The next prime is 27974171. The reversal of 27974160 is 6147972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18721 + ... + 20159.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^27974160 is an apocalyptic number.

27974160 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 27974160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

27974160 is an abundant number, since it is smaller than the sum of its proper divisors (69519600).

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

27974160 is a wasteful number, since it uses less digits than its factorization.

27974160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 27974160 is about 5289.0604080498. The cubic root of 27974160 is about 303.5654571770.

The spelling of 27974160 in words is "twenty-seven million, nine hundred seventy-four thousand, one hundred sixty".