178048 has 32 divisors (see below), whose sum is σ = 385560. Its totient is φ = 81408.

The previous prime is 178039. The next prime is 178067. The reversal of 178048 is 840871.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1611 + ... + 1717.

2¹⁷⁸⁰⁴⁸ 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 178048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192780).

178048 is an abundant number, since it is smaller than the sum of its proper divisors (207512).

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

178048 is a wasteful number, since it uses less digits than its factorization.

178048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 178048 is about 421.9573438157. The cubic root of 178048 is about 56.2573192122.

The spelling of 178048 in words is "one hundred seventy-eight thousand, forty-eight".