42627760 has 80 divisors (see below), whose sum is σ = 114206976. Its totient is φ = 14494464.

The previous prime is 42627743. The next prime is 42627779. The reversal of 42627760 is 6772624.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 91047 + ... + 91513.

Almost surely, 2^42627760 is an apocalyptic number.

42627760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42627760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57103488).

42627760 is an abundant number, since it is smaller than the sum of its proper divisors (71579216).

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

42627760 is a wasteful number, since it uses less digits than its factorization.

42627760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 42627760 is about 6528.9937969032. The cubic root of 42627760 is about 349.3259407690.

The spelling of 42627760 in words is "forty-two million, six hundred twenty-seven thousand, seven hundred sixty".