123641160 has 64 divisors (see below), whose sum is σ = 372228480. Its totient is φ = 32855040.

The previous prime is 123641137. The next prime is 123641171. The reversal of 123641160 is 61146321.

It is a super-2 number, since 2×123641160² = 30574272892291200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123641160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35664 + ... + 38976.

It is an arithmetic number, because the mean of its divisors is an integer number (5816070).

Almost surely, 2^123641160 is an apocalyptic number.

123641160 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 123641160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186114240).

123641160 is an abundant number, since it is smaller than the sum of its proper divisors (248587320).

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

123641160 is a wasteful number, since it uses less digits than its factorization.

123641160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 123641160 is about 11119.4046603224. The cubic root of 123641160 is about 498.1816082530.

Adding to 123641160 its reverse (61146321), we get a palindrome (184787481).

The spelling of 123641160 in words is "one hundred twenty-three million, six hundred forty-one thousand, one hundred sixty".