27924960 has 96 divisors (see below), whose sum is σ = 100541952. Its totient is φ = 6382080.

The previous prime is 27924959. The next prime is 27924979. The reversal of 27924960 is 6942972.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 796 + ... + 7515.

It is an arithmetic number, because the mean of its divisors is an integer number (1047312).

Almost surely, 2^27924960 is an apocalyptic number.

27924960 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 27924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50270976).

27924960 is an abundant number, since it is smaller than the sum of its proper divisors (72616992).

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

27924960 is a wasteful number, since it uses less digits than its factorization.

27924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 27924960 is about 5284.4072515278. The cubic root of 27924960 is about 303.3873858780.

The spelling of 27924960 in words is "twenty-seven million, nine hundred twenty-four thousand, nine hundred sixty".