42711760 has 80 divisors (see below), whose sum is σ = 122242176. Its totient is φ = 13515264.

The previous prime is 42711749. The next prime is 42711787. The reversal of 42711760 is 6711724.

42711760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4347 + ... + 10213.

Almost surely, 2^42711760 is an apocalyptic number.

42711760 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 42711760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61121088).

42711760 is an abundant number, since it is smaller than the sum of its proper divisors (79530416).

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

42711760 is a wasteful number, since it uses less digits than its factorization.

42711760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 42711760 is about 6535.4234751851. The cubic root of 42711760 is about 349.5552445993. Note that the first 3 decimals are identical.

The spelling of 42711760 in words is "forty-two million, seven hundred eleven thousand, seven hundred sixty".