42727608 has 192 divisors, whose sum is σ = 151027200. Its totient is φ = 11067840.

The previous prime is 42727603. The next prime is 42727609. The reversal of 42727608 is 80672724.

42727608 is a `hidden beast` number, since 4 + 27 + 27 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42727603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116241 + ... + 116607.

It is an arithmetic number, because the mean of its divisors is an integer number (786600).

Almost surely, 2^42727608 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 42727608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75513600).

42727608 is an abundant number, since it is smaller than the sum of its proper divisors (108299592).

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

42727608 is a wasteful number, since it uses less digits than its factorization.

42727608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 42727608 is about 6536.6358319857. The cubic root of 42727608 is about 349.5984728694.

Subtracting 42727608 from its reverse (80672724), we obtain a triangular number (37945116 = T₈₇₁₁).

The spelling of 42727608 in words is "forty-two million, seven hundred twenty-seven thousand, six hundred eight".