123576 has 32 divisors (see below), whose sum is σ = 326400. Its totient is φ = 38880.

The previous prime is 123553. The next prime is 123581. The reversal of 123576 is 675321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (10200).

2¹²³⁵⁷⁶ 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 123576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163200).

123576 is an abundant number, since it is smaller than the sum of its proper divisors (202824).

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

123576 is a wasteful number, since it uses less digits than its factorization.

123576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 123576 is about 351.5337821604. The cubic root of 123576 is about 49.8094077483.

Adding to 123576 its reverse (675321), we get a palindrome (798897).

The spelling of 123576 in words is "one hundred twenty-three thousand, five hundred seventy-six".