123886080 has 240 divisors, whose sum is σ = 453229920. Its totient is φ = 31186944.

The previous prime is 123886043. The next prime is 123886093. The reversal of 123886080 is 80688321.

123886080 is a `hidden beast` number, since 12 + 38 + 8 + 608 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437619 + ... + 437901.

It is an arithmetic number, because the mean of its divisors is an integer number (1888458).

Almost surely, 2^123886080 is an apocalyptic number.

123886080 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 123886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226614960).

123886080 is an abundant number, since it is smaller than the sum of its proper divisors (329343840).

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

123886080 is a wasteful number, since it uses less digits than its factorization.

123886080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 123886080 is about 11130.4123912818. The cubic root of 123886080 is about 498.5103395645.

The spelling of 123886080 in words is "one hundred twenty-three million, eight hundred eighty-six thousand, eighty".