67686144 has 72 divisors (see below), whose sum is σ = 186020352. Its totient is φ = 21826560.

The previous prime is 67686131. The next prime is 67686161. The reversal of 67686144 is 44168676.

It is a junction number, because it is equal to n+sod(n) for n = 67686096 and 67686105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22387 + ... + 25229.

It is an arithmetic number, because the mean of its divisors is an integer number (2583616).

Almost surely, 2^67686144 is an apocalyptic number.

67686144 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 67686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93010176).

67686144 is an abundant number, since it is smaller than the sum of its proper divisors (118334208).

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

67686144 is a wasteful number, since it uses less digits than its factorization.

67686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2879 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 67686144 is about 8227.1589263852. The cubic root of 67686144 is about 407.5365749349.

The spelling of 67686144 in words is "sixty-seven million, six hundred eighty-six thousand, one hundred forty-four".