67584042 has 12 divisors (see below), whose sum is σ = 146432130. Its totient is φ = 22528008.

The previous prime is 67584037. The next prime is 67584047. The reversal of 67584042 is 24048576.

It is an interprime number because it is at equal distance from previous prime (67584037) and next prime (67584047).

It can be written as a sum of positive squares in only one way, i.e., 54774801 + 12809241 = 7401^2 + 3579^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67583988 and 67584006.

It is not an unprimeable number, because it can be changed into a prime (67584047) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1877317 + ... + 1877352.

Almost surely, 2^67584042 is an apocalyptic number.

67584042 is an abundant number, since it is smaller than the sum of its proper divisors (78848088).

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

67584042 is a wasteful number, since it uses less digits than its factorization.

67584042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754677 (or 3754674 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 67584042 is about 8220.9514047949. The cubic root of 67584042 is about 407.3315539513.

The spelling of 67584042 in words is "sixty-seven million, five hundred eighty-four thousand, forty-two".