67142010 has 192 divisors, whose sum is σ = 199221120. Its totient is φ = 14376960.

The previous prime is 67141967. The next prime is 67142011. The reversal of 67142010 is 1024176.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (67142011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1637590 + ... + 1637630.

It is an arithmetic number, because the mean of its divisors is an integer number (1037610).

Almost surely, 2^67142010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67142010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99610560).

67142010 is an abundant number, since it is smaller than the sum of its proper divisors (132079110).

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

67142010 is a wasteful number, since it uses less digits than its factorization.

67142010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 67142010 is about 8194.0228215450. The cubic root of 67142010 is about 406.4415629896.

Adding to 67142010 its reverse (1024176), we get a palindrome (68166186).

The spelling of 67142010 in words is "sixty-seven million, one hundred forty-two thousand, ten".