27735942 has 48 divisors (see below), whose sum is σ = 63640080. Its totient is φ = 8027136.

The previous prime is 27735941. The next prime is 27735949. The reversal of 27735942 is 24953772.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 27735942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27735941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16434 + ... + 18042.

It is an arithmetic number, because the mean of its divisors is an integer number (1325835).

Almost surely, 2^27735942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27735942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31820040).

27735942 is an abundant number, since it is smaller than the sum of its proper divisors (35904138).

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

27735942 is a wasteful number, since it uses less digits than its factorization.

27735942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1644 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 27735942 is about 5266.4923810825. The cubic root of 27735942 is about 302.7013144389.

The spelling of 27735942 in words is "twenty-seven million, seven hundred thirty-five thousand, nine hundred forty-two".