123864552 has 240 divisors, whose sum is σ = 417130560. Its totient is φ = 34219584.

The previous prime is 123864527. The next prime is 123864557. The reversal of 123864552 is 255468321.

123864552 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 645 + 5 + 2 = 666.

It is a super-3 number, since 3×123864552³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (123864557) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1492303 + ... + 1492385.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 2^123864552 is an apocalyptic number.

123864552 is a gapful number since it is divisible by the number (12) 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 123864552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208565280).

123864552 is an abundant number, since it is smaller than the sum of its proper divisors (293266008).

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

123864552 is a wasteful number, since it uses less digits than its factorization.

123864552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

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

The square root of 123864552 is about 11129.4452691947. The cubic root of 123864552 is about 498.4814620875.

The spelling of 123864552 in words is "one hundred twenty-three million, eight hundred sixty-four thousand, five hundred fifty-two".