42006024 has 24 divisors (see below), whose sum is σ = 113766510. Its totient is φ = 14001984.

The previous prime is 42005983. The next prime is 42006037. The reversal of 42006024 is 42060024.

It can be written as a sum of positive squares in only one way, i.e., 26936100 + 15069924 = 5190^2 + 3882^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42005988 and 42006006.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291637 + ... + 291780.

Almost surely, 2^42006024 is an apocalyptic number.

It is an amenable number.

42006024 is an abundant number, since it is smaller than the sum of its proper divisors (71760486).

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

42006024 is a wasteful number, since it uses less digits than its factorization.

42006024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583429 (or 583422 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42006024 is about 6481.2054434341. The cubic root of 42006024 is about 347.6192824120.

Adding to 42006024 its reverse (42060024), we get a palindrome (84066048).

The spelling of 42006024 in words is "forty-two million, six thousand, twenty-four".