67413168 has 80 divisors (see below), whose sum is σ = 200210400. Its totient is φ = 21692160.

The previous prime is 67413167. The next prime is 67413169. The reversal of 67413168 is 86131476.

It is an interprime number because it is at equal distance from previous prime (67413167) and next prime (67413169).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (67413167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9838 + ... + 15218.

It is an arithmetic number, because the mean of its divisors is an integer number (2502630).

Almost surely, 2^67413168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67413168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100105200).

67413168 is an abundant number, since it is smaller than the sum of its proper divisors (132797232).

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

67413168 is a wasteful number, since it uses less digits than its factorization.

67413168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5415 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 67413168 is about 8210.5522347769. The cubic root of 67413168 is about 406.9879762298.

The spelling of 67413168 in words is "sixty-seven million, four hundred thirteen thousand, one hundred sixty-eight".