27824640 has 80 divisors (see below), whose sum is σ = 88976448. Its totient is φ = 7417856.

The previous prime is 27824633. The next prime is 27824647. The reversal of 27824640 is 4642872.

It is an interprime number because it is at equal distance from previous prime (27824633) and next prime (27824647).

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

It is a super-2 number, since 2×27824640² = 1548421182259200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27824647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5869 + ... + 9491.

Almost surely, 2^27824640 is an apocalyptic number.

27824640 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 27824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44488224).

27824640 is an abundant number, since it is smaller than the sum of its proper divisors (61151808).

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

27824640 is an equidigital number, since it uses as much as digits as its factorization.

27824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 27824640 is about 5274.9066342448. The cubic root of 27824640 is about 303.0236450739.

The spelling of 27824640 in words is "twenty-seven million, eight hundred twenty-four thousand, six hundred forty".