67042000 has 40 divisors (see below), whose sum is σ = 162112392. Its totient is φ = 26816000.

The previous prime is 67041967. The next prime is 67042021. The reversal of 67042000 is 24076.

It can be written as a sum of positive squares in 4 ways, for example, as 6948496 + 60093504 = 2636^2 + 7752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 14761 + ... + 18760.

Almost surely, 2^67042000 is an apocalyptic number.

It is an amenable number.

67042000 is an abundant number, since it is smaller than the sum of its proper divisors (95070392).

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

67042000 is a wasteful number, since it uses less digits than its factorization.

67042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33544 (or 33528 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 67042000 is about 8187.9179282648. The cubic root of 67042000 is about 406.2396604864.

Adding to 67042000 its reverse (24076), we get a palindrome (67066076).

The spelling of 67042000 in words is "sixty-seven million, forty-two thousand".