123948 has 36 divisors (see below), whose sum is σ = 342888. Its totient is φ = 37440.

The previous prime is 123941. The next prime is 123953. The reversal of 123948 is 849321.

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240 + ... + 552.

2¹²³⁹⁴⁸ is an apocalyptic number.

123948 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 123948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171444).

123948 is an abundant number, since it is smaller than the sum of its proper divisors (218940).

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

123948 is a wasteful number, since it uses less digits than its factorization.

123948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 123948 is about 352.0624944523. The cubic root of 123948 is about 49.8593379884.

The spelling of 123948 in words is "one hundred twenty-three thousand, nine hundred forty-eight".