123561504 has 96 divisors (see below), whose sum is σ = 393180480. Its totient is φ = 37440000.

The previous prime is 123561461. The next prime is 123561509. The reversal of 123561504 is 405165321.

123561504 is a `hidden beast` number, since 12 + 35 + 615 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123561509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3004 + ... + 16004.

It is an arithmetic number, because the mean of its divisors is an integer number (4095630).

Almost surely, 2^123561504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123561504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196590240).

123561504 is an abundant number, since it is smaller than the sum of its proper divisors (269618976).

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

123561504 is a wasteful number, since it uses less digits than its factorization.

123561504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13031 (or 13017 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 123561504 is about 11115.8222367938. The cubic root of 123561504 is about 498.0746005241.

The spelling of 123561504 in words is "one hundred twenty-three million, five hundred sixty-one thousand, five hundred four".