67065864 has 64 divisors (see below), whose sum is σ = 174787200. Its totient is φ = 21417984.

The previous prime is 67065857. The next prime is 67065871. The reversal of 67065864 is 46856076.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67065857) and next prime (67065871).

It is a super-2 number, since 2×67065864² = 8995660228132992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115944 + ... + 116520.

It is an arithmetic number, because the mean of its divisors is an integer number (2731050).

Almost surely, 2^67065864 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 67065864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87393600).

67065864 is an abundant number, since it is smaller than the sum of its proper divisors (107721336).

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

67065864 is a wasteful number, since it uses less digits than its factorization.

67065864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 67065864 is about 8189.3750677326. The cubic root of 67065864 is about 406.2878559122.

The spelling of 67065864 in words is "sixty-seven million, sixty-five thousand, eight hundred sixty-four".