42957936 has 120 divisors (see below), whose sum is σ = 144693120. Its totient is φ = 11622528.

The previous prime is 42957923. The next prime is 42957947. The reversal of 42957936 is 63975924.

It is a happy number.

42957936 is a `hidden beast` number, since 42 + 9 + 579 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42957891 and 42957900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18031 + ... + 20273.

It is an arithmetic number, because the mean of its divisors is an integer number (1205776).

Almost surely, 2^42957936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42957936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72346560).

42957936 is an abundant number, since it is smaller than the sum of its proper divisors (101735184).

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

42957936 is a wasteful number, since it uses less digits than its factorization.

42957936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2274 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 42957936 is about 6554.2303896033. The cubic root of 42957936 is about 350.2255308331.

The spelling of 42957936 in words is "forty-two million, nine hundred fifty-seven thousand, nine hundred thirty-six".