27796960 has 48 divisors (see below), whose sum is σ = 66676176. Its totient is φ = 10948608.

The previous prime is 27796939. The next prime is 27796961. The reversal of 27796960 is 6969772.

It is a self number, because there is not a number n which added to its sum of digits gives 27796960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27796961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9424 + ... + 12016.

It is an arithmetic number, because the mean of its divisors is an integer number (1389087).

Almost surely, 2^27796960 is an apocalyptic number.

27796960 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 27796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33338088).

27796960 is an abundant number, since it is smaller than the sum of its proper divisors (38879216).

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

27796960 is a wasteful number, since it uses less digits than its factorization.

27796960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 27796960 is about 5272.2822382722. The cubic root of 27796960 is about 302.9231289199.

The spelling of 27796960 in words is "twenty-seven million, seven hundred ninety-six thousand, nine hundred sixty".