27924120 has 144 divisors (see below), whose sum is σ = 105636960. Its totient is φ = 6378624.

The previous prime is 27924119. The next prime is 27924121. The reversal of 27924120 is 2142972.

It is an interprime number because it is at equal distance from previous prime (27924119) and next prime (27924121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27924121) 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, 16849 + ... + 18431.

It is an arithmetic number, because the mean of its divisors is an integer number (733590).

Almost surely, 2^27924120 is an apocalyptic number.

27924120 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 27924120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52818480).

27924120 is an abundant number, since it is smaller than the sum of its proper divisors (77712840).

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

27924120 is a wasteful number, since it uses less digits than its factorization.

27924120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27924120 is about 5284.3277718173. The cubic root of 27924120 is about 303.3843438210.

The spelling of 27924120 in words is "twenty-seven million, nine hundred twenty-four thousand, one hundred twenty".