27279680 has 56 divisors (see below), whose sum is σ = 65483232. Its totient is φ = 10824192.

The previous prime is 27279677. The next prime is 27279689. The reversal of 27279680 is 8697272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27279689) 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, 51899 + ... + 52421.

Almost surely, 2^27279680 is an apocalyptic number.

27279680 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 27279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32741616).

27279680 is an abundant number, since it is smaller than the sum of its proper divisors (38203552).

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

27279680 is a wasteful number, since it uses less digits than its factorization.

27279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 27279680 is about 5222.9953092072. The cubic root of 27279680 is about 301.0322956631.

The spelling of 27279680 in words is "twenty-seven million, two hundred seventy-nine thousand, six hundred eighty".