67638081 has 48 divisors (see below), whose sum is σ = 112522560. Its totient is φ = 35925120.

The previous prime is 67638073. The next prime is 67638089. The reversal of 67638081 is 18083676.

It is an interprime number because it is at equal distance from previous prime (67638073) and next prime (67638089).

It is not a de Polignac number, because 67638081 - 2³ = 67638073 is a prime.

It is a super-2 number, since 2×67638081² = 9149820002725122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67638089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170175 + ... + 170571.

It is an arithmetic number, because the mean of its divisors is an integer number (2344220).

Almost surely, 2^67638081 is an apocalyptic number.

67638081 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

67638081 is a deficient number, since it is larger than the sum of its proper divisors (44884479).

67638081 is a wasteful number, since it uses less digits than its factorization.

67638081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 67638081 is about 8224.2374114565. The cubic root of 67638081 is about 407.4400900547.

The spelling of 67638081 in words is "sixty-seven million, six hundred thirty-eight thousand, eighty-one".