123936 has 24 divisors (see below), whose sum is σ = 325584. Its totient is φ = 41280.

The previous prime is 123931. The next prime is 123941. The reversal of 123936 is 639321.

It is an interprime number because it is at equal distance from previous prime (123931) and next prime (123941).

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (123931) by changing a digit.

123936 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 3 ways as a sum of consecutive naturals, for example, 550 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (13566).

2¹²³⁹³⁶ is an apocalyptic number.

123936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123936 is an abundant number, since it is smaller than the sum of its proper divisors (201648).

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

123936 is a wasteful number, since it uses less digits than its factorization.

123936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1296 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 123936 is about 352.0454516110. The cubic root of 123936 is about 49.8577288960.

It can be divided in two parts, 1239 and 36, that added together give a triangular number (1275 = T₅₀).

The spelling of 123936 in words is "one hundred twenty-three thousand, nine hundred thirty-six".