67938864 has 80 divisors (see below), whose sum is σ = 201653760. Its totient is φ = 19307520.

The previous prime is 67938859. The next prime is 67938869. The reversal of 67938864 is 46883976.

It is an interprime number because it is at equal distance from previous prime (67938859) and next prime (67938869).

It is a super-2 number, since 2×67938864² = 9231378483220992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67938869) 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, 80557 + ... + 81395.

It is an arithmetic number, because the mean of its divisors is an integer number (2520672).

Almost surely, 2^67938864 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 67938864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100826880).

67938864 is an abundant number, since it is smaller than the sum of its proper divisors (133714896).

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

67938864 is a wasteful number, since it uses less digits than its factorization.

67938864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1092 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 67938864 is about 8242.5035031840. The cubic root of 67938864 is about 408.0431519142.

The spelling of 67938864 in words is "sixty-seven million, nine hundred thirty-eight thousand, eight hundred sixty-four".