27742596 has 48 divisors (see below), whose sum is σ = 75565056. Its totient is φ = 7756704.

The previous prime is 27742591. The next prime is 27742597. The reversal of 27742596 is 69524772.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (27742591) 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 15 ways as a sum of consecutive naturals, for example, 435 + ... + 7461.

It is an arithmetic number, because the mean of its divisors is an integer number (1574272).

Almost surely, 2^27742596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27742596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37782528).

27742596 is an abundant number, since it is smaller than the sum of its proper divisors (47822460).

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

27742596 is a wasteful number, since it uses less digits than its factorization.

27742596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7086 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 27742596 is about 5267.1240729643. The cubic root of 27742596 is about 302.7255190552.

The spelling of 27742596 in words is "twenty-seven million, seven hundred forty-two thousand, five hundred ninety-six".