42083920 has 20 divisors (see below), whose sum is σ = 97845300. Its totient is φ = 16833536.

The previous prime is 42083897. The next prime is 42083929. The reversal of 42083920 is 2938024.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 29637136 = 3528^2 + 5444^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42083929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262945 + ... + 263104.

It is an arithmetic number, because the mean of its divisors is an integer number (4892265).

Almost surely, 2^42083920 is an apocalyptic number.

42083920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42083920 is an abundant number, since it is smaller than the sum of its proper divisors (55761380).

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

42083920 is a wasteful number, since it uses less digits than its factorization.

42083920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526062 (or 526056 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 42083920 is about 6487.2120359982. The cubic root of 42083920 is about 347.8340248732.

It can be divided in two parts, 4208 and 3920, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 42083920 in words is "forty-two million, eighty-three thousand, nine hundred twenty".