27429120 has 108 divisors (see below), whose sum is σ = 94941756. Its totient is φ = 7311360.

The previous prime is 27429119. The next prime is 27429137. The reversal of 27429120 is 2192472.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 24443136 = 1728^2 + 4944^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10330 + ... + 12710.

Almost surely, 2^27429120 is an apocalyptic number.

27429120 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 27429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47470878).

27429120 is an abundant number, since it is smaller than the sum of its proper divisors (67512636).

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

27429120 is a wasteful number, since it uses less digits than its factorization.

27429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2391 counting only the distinct ones).

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

The square root of 27429120 is about 5237.2817376956. The cubic root of 27429120 is about 301.5809869648.

The spelling of 27429120 in words is "twenty-seven million, four hundred twenty-nine thousand, one hundred twenty".