67012864 has 36 divisors (see below), whose sum is σ = 135795184. Its totient is φ = 32997888.

The previous prime is 67012859. The next prime is 67012871. The reversal of 67012864 is 46821076.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15199 + ... + 19105.

Almost surely, 2^67012864 is an apocalyptic number.

67012864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67897592).

67012864 is an abundant number, since it is smaller than the sum of its proper divisors (68782320).

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

67012864 is an equidigital number, since it uses as much as digits as its factorization.

67012864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 67012864 is about 8186.1385280241. The cubic root of 67012864 is about 406.1808022890.

It can be divided in two parts, 67012 and 864, that added together give a palindrome (67876).

The spelling of 67012864 in words is "sixty-seven million, twelve thousand, eight hundred sixty-four".