27691920 has 60 divisors (see below), whose sum is σ = 93001116. Its totient is φ = 7384320.

The previous prime is 27691919. The next prime is 27691927. The reversal of 27691920 is 2919672.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 20466576 = 2688^2 + 4524^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (27691927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18511 + ... + 19950.

Almost surely, 2^27691920 is an apocalyptic number.

27691920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27691920 is an abundant number, since it is smaller than the sum of its proper divisors (65309196).

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

27691920 is a wasteful number, since it uses less digits than its factorization.

27691920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38480 (or 38471 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 27691920 is about 5262.3112792764. The cubic root of 27691920 is about 302.5410822332.

The spelling of 27691920 in words is "twenty-seven million, six hundred ninety-one thousand, nine hundred twenty".