42735620 has 24 divisors (see below), whose sum is σ = 95024664. Its totient is φ = 16088576.

The previous prime is 42735619. The next prime is 42735673. The reversal of 42735620 is 2653724.

It can be written as a sum of positive squares in 4 ways, for example, as 11888704 + 30846916 = 3448^2 + 5554^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62507 + ... + 63186.

It is an arithmetic number, because the mean of its divisors is an integer number (3959361).

Almost surely, 2^42735620 is an apocalyptic number.

It is an amenable number.

42735620 is an abundant number, since it is smaller than the sum of its proper divisors (52289044).

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

42735620 is a wasteful number, since it uses less digits than its factorization.

42735620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125719 (or 125717 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 42735620 is about 6537.2486567363. The cubic root of 42735620 is about 349.6203229724.

The spelling of 42735620 in words is "forty-two million, seven hundred thirty-five thousand, six hundred twenty".