27992160 has 144 divisors (see below), whose sum is σ = 109208736. Its totient is φ = 6395904.

The previous prime is 27992147. The next prime is 27992161. The reversal of 27992160 is 6129972.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×27992160² = 1567122042931200, which contains 22 as substring.

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 (27992161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8692 + ... + 11468.

It is an arithmetic number, because the mean of its divisors is an integer number (758394).

Almost surely, 2^27992160 is an apocalyptic number.

27992160 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 27992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54604368).

27992160 is an abundant number, since it is smaller than the sum of its proper divisors (81216576).

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

27992160 is a wasteful number, since it uses less digits than its factorization.

27992160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 27992160 is about 5290.7617598981. The cubic root of 27992160 is about 303.6305530449.

The spelling of 27992160 in words is "twenty-seven million, nine hundred ninety-two thousand, one hundred sixty".