27876960 has 168 divisors, whose sum is σ = 99156960. Its totient is φ = 7402752.

The previous prime is 27876941. The next prime is 27876983. The reversal of 27876960 is 6967872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116521 + ... + 116759.

It is an arithmetic number, because the mean of its divisors is an integer number (590220).

Almost surely, 2^27876960 is an apocalyptic number.

27876960 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 27876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49578480).

27876960 is an abundant number, since it is smaller than the sum of its proper divisors (71280000).

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

27876960 is an equidigital number, since it uses as much as digits as its factorization.

27876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 27876960 is about 5279.8636346027. The cubic root of 27876960 is about 303.2134560992.

The spelling of 27876960 in words is "twenty-seven million, eight hundred seventy-six thousand, nine hundred sixty".