123464160 has 144 divisors (see below), whose sum is σ = 426810384. Its totient is φ = 32495616.

The previous prime is 123464113. The next prime is 123464179. The reversal of 123464160 is 61464321.

123464160 is a `hidden beast` number, since 12 + 3 + 4 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 119004 + ... + 120036.

It is an arithmetic number, because the mean of its divisors is an integer number (2963961).

Almost surely, 2^123464160 is an apocalyptic number.

123464160 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 123464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213405192).

123464160 is an abundant number, since it is smaller than the sum of its proper divisors (303346224).

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

123464160 is a wasteful number, since it uses less digits than its factorization.

123464160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 123464160 is about 11111.4427506062. The cubic root of 123464160 is about 497.9437687513.

The spelling of 123464160 in words is "one hundred twenty-three million, four hundred sixty-four thousand, one hundred sixty".