42942080 has 64 divisors (see below), whose sum is σ = 103458600. Its totient is φ = 17043456.

The previous prime is 42942077. The next prime is 42942091. The reversal of 42942080 is 8024924.

It can be written as a sum of positive squares in 4 ways, for example, as 42719296 + 222784 = 6536^2 + 472^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146414 + ... + 146706.

Almost surely, 2^42942080 is an apocalyptic number.

42942080 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 42942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51729300).

42942080 is an abundant number, since it is smaller than the sum of its proper divisors (60516520).

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

42942080 is a wasteful number, since it uses less digits than its factorization.

42942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 42942080 is about 6553.0206775196. The cubic root of 42942080 is about 350.1824355023.

The spelling of 42942080 in words is "forty-two million, nine hundred forty-two thousand, eighty".