67088 has 20 divisors (see below), whose sum is σ = 148800. Its totient is φ = 28704.

The previous prime is 67079. The next prime is 67103. The reversal of 67088 is 88076.

It is a self number, because there is not a number n which added to its sum of digits gives 67088.

It is an unprimeable number.

67088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

2⁶⁷⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

67088 is an abundant number, since it is smaller than the sum of its proper divisors (81712).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).

67088 is a wasteful number, since it uses less digits than its factorization.

67088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 67088 is about 259.0135131610. The cubic root of 67088 is about 40.6332551272.

The spelling of 67088 in words is "sixty-seven thousand, eighty-eight".