67848 has 32 divisors (see below), whose sum is σ = 185760. Its totient is φ = 20480.

The previous prime is 67843. The next prime is 67853. The reversal of 67848 is 84876.

It is an interprime number because it is at equal distance from previous prime (67843) and next prime (67853).

It is a super-2 number, since 2×67848² = 9206702208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (67843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (5805).

2⁶⁷⁸⁴⁸ 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 67848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92880).

67848 is an abundant number, since it is smaller than the sum of its proper divisors (117912).

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

67848 is a wasteful number, since it uses less digits than its factorization.

67848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 67848 is about 260.4764864628. The cubic root of 67848 is about 40.7861159987.

The spelling of 67848 in words is "sixty-seven thousand, eight hundred forty-eight".