123865920 has 168 divisors, whose sum is σ = 436854600. Its totient is φ = 32194560.

The previous prime is 123865919. The next prime is 123865933. The reversal of 123865920 is 29568321.

It can be written as a sum of positive squares in 4 ways, for example, as 9290304 + 114575616 = 3048^2 + 10704^2 .

It is a super-2 number, since 2×123865920² = 30685532274892800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117556 + ... + 118604.

It is an arithmetic number, because the mean of its divisors is an integer number (2600325).

Almost surely, 2^123865920 is an apocalyptic number.

123865920 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 123865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218427300).

123865920 is an abundant number, since it is smaller than the sum of its proper divisors (312988680).

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

123865920 is a wasteful number, since it uses less digits than its factorization.

123865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 123865920 is about 11129.5067276138. The cubic root of 123865920 is about 498.4832972106.

The spelling of 123865920 in words is "one hundred twenty-three million, eight hundred sixty-five thousand, nine hundred twenty".