27734742 has 48 divisors (see below), whose sum is σ = 70287360. Its totient is φ = 7738416.

The previous prime is 27734713. The next prime is 27734743. The reversal of 27734742 is 24743772.

27734742 is a `hidden beast` number, since 277 + 347 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27734697 and 27734706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27734743) 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, 2859 + ... + 7977.

It is an arithmetic number, because the mean of its divisors is an integer number (1464320).

Almost surely, 2^27734742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27734742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35143680).

27734742 is an abundant number, since it is smaller than the sum of its proper divisors (42552618).

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

27734742 is a wasteful number, since it uses less digits than its factorization.

27734742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5174 counting only the distinct ones).

The product of its digits is 65856, while the sum is 36.

The square root of 27734742 is about 5266.3784520294. The cubic root of 27734742 is about 302.6969489023.

The spelling of 27734742 in words is "twenty-seven million, seven hundred thirty-four thousand, seven hundred forty-two".