27742560 has 96 divisors (see below), whose sum is σ = 90447840. Its totient is φ = 7139328.

The previous prime is 27742543. The next prime is 27742573. The reversal of 27742560 is 6524772.

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, 12924 + ... + 14916.

It is an arithmetic number, because the mean of its divisors is an integer number (942165).

Almost surely, 2^27742560 is an apocalyptic number.

27742560 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 27742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45223920).

27742560 is an abundant number, since it is smaller than the sum of its proper divisors (62705280).

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

27742560 is a wasteful number, since it uses less digits than its factorization.

27742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 27742560 is about 5267.1206555385. The cubic root of 27742560 is about 302.7253881119.

The spelling of 27742560 in words is "twenty-seven million, seven hundred forty-two thousand, five hundred sixty".