67638813 has 16 divisors (see below), whose sum is σ = 99999552. Its totient is φ = 40320000.

The previous prime is 67638811. The next prime is 67638833. The reversal of 67638813 is 31883676.

It is not a de Polignac number, because 67638813 - 2¹ = 67638811 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67638811) 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, 14788 + ... + 18813.

It is an arithmetic number, because the mean of its divisors is an integer number (6249972).

Almost surely, 2^67638813 is an apocalyptic number.

It is an amenable number.

67638813 is a deficient number, since it is larger than the sum of its proper divisors (32360739).

67638813 is a wasteful number, since it uses less digits than its factorization.

67638813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33676.

The product of its digits is 145152, while the sum is 42.

The square root of 67638813 is about 8224.2819139424. The cubic root of 67638813 is about 407.4415598631.

It can be divided in two parts, 6763 and 8813, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 67638813 in words is "sixty-seven million, six hundred thirty-eight thousand, eight hundred thirteen".