167648 has 36 divisors (see below), whose sum is σ = 368928. Its totient is φ = 74880.

The previous prime is 167641. The next prime is 167663. The reversal of 167648 is 846761.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 167648.

It is not an unprimeable number, because it can be changed into a prime (167641) by changing a digit.

167648 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 5 ways as a sum of consecutive naturals, for example, 5393 + ... + 5423.

It is an arithmetic number, because the mean of its divisors is an integer number (10248).

2¹⁶⁷⁶⁴⁸ 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 167648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184464).

167648 is an abundant number, since it is smaller than the sum of its proper divisors (201280).

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

167648 is a wasteful number, since it uses less digits than its factorization.

167648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 167648 is about 409.4484094486. The cubic root of 167648 is about 55.1399192277.

The spelling of 167648 in words is "one hundred sixty-seven thousand, six hundred forty-eight".