42642024 has 16 divisors (see below), whose sum is σ = 106605120. Its totient is φ = 14214000.

The previous prime is 42642013. The next prime is 42642107. The reversal of 42642024 is 42024624.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1776751 = 42642024 / (4 + 2 + 6 + 4 + 2 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 42641985 and 42642003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 888352 + ... + 888399.

It is an arithmetic number, because the mean of its divisors is an integer number (6662820).

Almost surely, 2^42642024 is an apocalyptic number.

It is an amenable number.

42642024 is an abundant number, since it is smaller than the sum of its proper divisors (63963096).

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

42642024 is a wasteful number, since it uses less digits than its factorization.

42642024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776760 (or 1776756 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42642024 is about 6530.0860637514. The cubic root of 42642024 is about 349.3648999633.

Adding to 42642024 its reverse (42024624), we get a palindrome (84666648).

The spelling of 42642024 in words is "forty-two million, six hundred forty-two thousand, twenty-four".