27378960 has 160 divisors (see below), whose sum is σ = 99517440. Its totient is φ = 6096384.

The previous prime is 27378941. The next prime is 27378977. The reversal of 27378960 is 6987372.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72051 + ... + 72429.

It is an arithmetic number, because the mean of its divisors is an integer number (621984).

Almost surely, 2^27378960 is an apocalyptic number.

27378960 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 27378960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49758720).

27378960 is an abundant number, since it is smaller than the sum of its proper divisors (72138480).

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

27378960 is a wasteful number, since it uses less digits than its factorization.

27378960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 27378960 is about 5232.4908026675. The cubic root of 27378960 is about 301.3970397236.

The spelling of 27378960 in words is "twenty-seven million, three hundred seventy-eight thousand, nine hundred sixty".