123793920 has 240 divisors, whose sum is σ = 446846400. Its totient is φ = 32845824.

The previous prime is 123793909. The next prime is 123793921. The reversal of 123793920 is 29397321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (123793921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621981 + ... + 622179.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2^123793920 is an apocalyptic number.

123793920 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 123793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223423200).

123793920 is an abundant number, since it is smaller than the sum of its proper divisors (323052480).

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

123793920 is an frugal number, since it uses more digits than its factorization.

123793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 123793920 is about 11126.2716127192. The cubic root of 123793920 is about 498.3866934158.

The spelling of 123793920 in words is "one hundred twenty-three million, seven hundred ninety-three thousand, nine hundred twenty".