123634560 has 128 divisors (see below), whose sum is σ = 450432000. Its totient is φ = 28256256.

The previous prime is 123634549. The next prime is 123634561. The reversal of 123634560 is 65436321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123634561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8841 + ... + 18039.

It is an arithmetic number, because the mean of its divisors is an integer number (3519000).

Almost surely, 2^123634560 is an apocalyptic number.

123634560 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 123634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225216000).

123634560 is an abundant number, since it is smaller than the sum of its proper divisors (326797440).

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

123634560 is an equidigital number, since it uses as much as digits as its factorization.

123634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9228 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 123634560 is about 11119.1078778830. The cubic root of 123634560 is about 498.1727437370.

The spelling of 123634560 in words is "one hundred twenty-three million, six hundred thirty-four thousand, five hundred sixty".