42877566 has 96 divisors (see below), whose sum is σ = 106176000. Its totient is φ = 12787632.

The previous prime is 42877559. The next prime is 42877567. The reversal of 42877566 is 66577824.

42877566 is a `hidden beast` number, since 4 + 2 + 87 + 7 + 566 = 666.

42877566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (564480) is a multiple of the sum of its prime divisors (126).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42877567) by changing a digit.

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, 542715 + ... + 542793.

It is an arithmetic number, because the mean of its divisors is an integer number (1106000).

Almost surely, 2^42877566 is an apocalyptic number.

42877566 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42877566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53088000).

42877566 is an abundant number, since it is smaller than the sum of its proper divisors (63298434).

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

42877566 is a wasteful number, since it uses less digits than its factorization.

42877566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 42877566 is about 6548.0963645933. The cubic root of 42877566 is about 350.0069821736.

The spelling of 42877566 in words is "forty-two million, eight hundred seventy-seven thousand, five hundred sixty-six".