123564528 has 120 divisors (see below), whose sum is σ = 365195376. Its totient is φ = 40435200.

The previous prime is 123564527. The next prime is 123564557. The reversal of 123564528 is 825465321.

123564528 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 645 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123564492 and 123564501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123564527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236908 + ... + 237428.

Almost surely, 2^123564528 is an apocalyptic number.

123564528 is a gapful number since it is divisible by the number (18) 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 123564528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182597688).

123564528 is an abundant number, since it is smaller than the sum of its proper divisors (241630848).

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

123564528 is an equidigital number, since it uses as much as digits as its factorization.

123564528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 587 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 123564528 is about 11115.9582582879. The cubic root of 123564528 is about 498.0786637241.

The spelling of 123564528 in words is "one hundred twenty-three million, five hundred sixty-four thousand, five hundred twenty-eight".