27864120 has 64 divisors (see below), whose sum is σ = 84564000. Its totient is φ = 7344128.

The previous prime is 27864119. The next prime is 27864121. The reversal of 27864120 is 2146872.

It is an interprime number because it is at equal distance from previous prime (27864119) and next prime (27864121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27864121) 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 15 ways as a sum of consecutive naturals, for example, 9376 + ... + 11984.

Almost surely, 2^27864120 is an apocalyptic number.

27864120 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 27864120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42282000).

27864120 is an abundant number, since it is smaller than the sum of its proper divisors (56699880).

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

27864120 is a wasteful number, since it uses less digits than its factorization.

27864120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 27864120 is about 5278.6475540616. The cubic root of 27864120 is about 303.1668960407.

The spelling of 27864120 in words is "twenty-seven million, eight hundred sixty-four thousand, one hundred twenty".