27974640 has 80 divisors (see below), whose sum is σ = 87271200. Its totient is φ = 7412736.

The previous prime is 27974633. The next prime is 27974641. The reversal of 27974640 is 4647972.

27974640 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27974641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54706 + ... + 55214.

It is an arithmetic number, because the mean of its divisors is an integer number (1090890).

Almost surely, 2^27974640 is an apocalyptic number.

27974640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27974640 is the 3054-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27974640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43635600).

27974640 is an abundant number, since it is smaller than the sum of its proper divisors (59296560).

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

27974640 is a wasteful number, since it uses less digits than its factorization.

27974640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 27974640 is about 5289.1057845348. The cubic root of 27974640 is about 303.5671934291.

The spelling of 27974640 in words is "twenty-seven million, nine hundred seventy-four thousand, six hundred forty".