27129960 has 384 divisors, whose sum is σ = 113218560. Its totient is φ = 5529600.

The previous prime is 27129931. The next prime is 27129979. The reversal of 27129960 is 6992172.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 875145 + ... + 875175.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^27129960 is an apocalyptic number.

27129960 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 27129960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

27129960 is an abundant number, since it is smaller than the sum of its proper divisors (86088600).

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

27129960 is a wasteful number, since it uses less digits than its factorization.

27129960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 82 counting only the distinct ones).

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

The square root of 27129960 is about 5208.6428174717. The cubic root of 27129960 is about 300.4805631193.

The spelling of 27129960 in words is "twenty-seven million, one hundred twenty-nine thousand, nine hundred sixty".