42771960 has 192 divisors, whose sum is σ = 173422080. Its totient is φ = 8881920.

The previous prime is 42771947. The next prime is 42771977. The reversal of 42771960 is 6917724.

It is a happy number.

42771960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 26949 + ... + 28491.

It is an arithmetic number, because the mean of its divisors is an integer number (903240).

Almost surely, 2^42771960 is an apocalyptic number.

42771960 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 42771960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86711040).

42771960 is an abundant number, since it is smaller than the sum of its proper divisors (130650120).

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

42771960 is a wasteful number, since it uses less digits than its factorization.

42771960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 42771960 is about 6540.0275228779. The cubic root of 42771960 is about 349.7193941373.

The spelling of 42771960 in words is "forty-two million, seven hundred seventy-one thousand, nine hundred sixty".