67729064 has 32 divisors (see below), whose sum is σ = 137168640. Its totient is φ = 31166400.

The previous prime is 67729063. The next prime is 67729069. The reversal of 67729064 is 46092776.

It is a super-2 number, since 2×67729064² = 9174452220632192, which contains 22 as substring.

Together with 69439576 it forms an amicable pair .

It is not an unprimeable number, because it can be changed into a prime (67729061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44069 + ... + 45579.

It is an arithmetic number, because the mean of its divisors is an integer number (4286520).

Almost surely, 2^67729064 is an apocalyptic number.

It is an amenable number.

67729064 is an abundant number, since it is smaller than the sum of its proper divisors (69439576).

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

67729064 is a wasteful number, since it uses less digits than its factorization.

67729064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 67729064 is about 8229.7669468825. The cubic root of 67729064 is about 407.6226968151.

The spelling of 67729064 in words is "sixty-seven million, seven hundred twenty-nine thousand, sixty-four".