123580 has 24 divisors (see below), whose sum is σ = 268128. Its totient is φ = 47808.

The previous prime is 123553. The next prime is 123581. The reversal of 123580 is 85321.

It is a happy number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123581) by changing a digit.

123580 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 7 ways as a sum of consecutive naturals, for example, 657 + ... + 823.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2¹²³⁵⁸⁰ is an apocalyptic number.

123580 is a gapful number since it is divisible by the number (10) 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 123580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064).

123580 is an abundant number, since it is smaller than the sum of its proper divisors (144548).

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

123580 is a wasteful number, since it uses less digits than its factorization.

123580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 123580 is about 351.5394714680. The cubic root of 123580 is about 49.8099451652.

It can be divided in two parts, 123 and 580, that added together give a triangular number (703 = T₃₇).

The spelling of 123580 in words is "one hundred twenty-three thousand, five hundred eighty".