27764640 has 96 divisors (see below), whose sum is σ = 97191360. Its totient is φ = 7402752.

The previous prime is 27764593. The next prime is 27764669. The reversal of 27764640 is 4646772.

27764640 is a `hidden beast` number, since 2 + 7 + 7 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 27764595 and 27764604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107 + ... + 7533.

It is an arithmetic number, because the mean of its divisors is an integer number (1012410).

Almost surely, 2^27764640 is an apocalyptic number.

27764640 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 27764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48595680).

27764640 is an abundant number, since it is smaller than the sum of its proper divisors (69426720).

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

27764640 is a wasteful number, since it uses less digits than its factorization.

27764640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 27764640 is about 5269.2162605078. The cubic root of 27764640 is about 302.8056787563.

The spelling of 27764640 in words is "twenty-seven million, seven hundred sixty-four thousand, six hundred forty".