27375642 has 48 divisors (see below), whose sum is σ = 68245632. Its totient is φ = 7768800.

The previous prime is 27375617. The next prime is 27375643. The reversal of 27375642 is 24657372.

27375642 = 449² + 450² + ... + 556².

It is a happy number.

27375642 is a `hidden beast` number, since 2 + 7 + 3 + 7 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27375597 and 27375606.

It is not an unprimeable number, because it can be changed into a prime (27375643) 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 23 ways as a sum of consecutive naturals, for example, 20392 + ... + 21692.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^27375642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27375642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34122816).

27375642 is an abundant number, since it is smaller than the sum of its proper divisors (40869990).

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

27375642 is a wasteful number, since it uses less digits than its factorization.

27375642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1480 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 27375642 is about 5232.1737356475. The cubic root of 27375642 is about 301.3848640021.

The spelling of 27375642 in words is "twenty-seven million, three hundred seventy-five thousand, six hundred forty-two".