123760 has 80 divisors (see below), whose sum is σ = 374976. Its totient is φ = 36864.

The previous prime is 123757. The next prime is 123787. The reversal of 123760 is 67321.

123760 = 46² + 47² + ... + 77².

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7272 + ... + 7288.

2¹²³⁷⁶⁰ is an apocalyptic number.

123760 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 123760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

123760 is an abundant number, since it is smaller than the sum of its proper divisors (251216).

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

123760 is a wasteful number, since it uses less digits than its factorization.

123760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 123760 is about 351.7953950807. The cubic root of 123760 is about 49.8341169314.

The spelling of 123760 in words is "one hundred twenty-three thousand, seven hundred sixty".