27864720 has 180 divisors, whose sum is σ = 101773620. Its totient is φ = 6829056.

The previous prime is 27864719. The next prime is 27864721. The reversal of 27864720 is 2746872.

27864720 is a `hidden beast` number, since 2 + 7 + 8 + 647 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27864719) and next prime (27864721).

It can be written as a sum of positive squares in 6 ways, for example, as 1115136 + 26749584 = 1056^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (27864721) 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 35 ways as a sum of consecutive naturals, for example, 121566 + ... + 121794.

It is an arithmetic number, because the mean of its divisors is an integer number (565409).

Almost surely, 2^27864720 is an apocalyptic number.

27864720 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 27864720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50886810).

27864720 is an abundant number, since it is smaller than the sum of its proper divisors (73908900).

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

27864720 is a wasteful number, since it uses less digits than its factorization.

27864720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 252 counting only the distinct ones).

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

The square root of 27864720 is about 5278.7043864949. The cubic root of 27864720 is about 303.1690720629.

The spelling of 27864720 in words is "twenty-seven million, eight hundred sixty-four thousand, seven hundred twenty".