168948 has 54 divisors (see below), whose sum is σ = 485394. Its totient is φ = 49248.

The previous prime is 168943. The next prime is 168977. The reversal of 168948 is 849861.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 51984 = 342^2 + 228^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168943) by changing a digit.

168948 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 17 ways as a sum of consecutive naturals, for example, 8883 + ... + 8901.

2¹⁶⁸⁹⁴⁸ is an apocalyptic number.

168948 is a gapful number since it is divisible by the number (18) 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 168948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242697).

168948 is an abundant number, since it is smaller than the sum of its proper divisors (316446).

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

168948 is a wasteful number, since it uses less digits than its factorization.

168948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 37 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 168948 is about 411.0328454029. The cubic root of 168948 is about 55.2820770168.

The spelling of 168948 in words is "one hundred sixty-eight thousand, nine hundred forty-eight".