123636352 has 64 divisors (see below), whose sum is σ = 288129600. Its totient is φ = 51738624.

The previous prime is 123636341. The next prime is 123636371. The reversal of 123636352 is 253636321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×123636352³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36924 + ... + 40132.

It is an arithmetic number, because the mean of its divisors is an integer number (4502025).

Almost surely, 2^123636352 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 123636352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144064800).

123636352 is an abundant number, since it is smaller than the sum of its proper divisors (164493248).

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

123636352 is an equidigital number, since it uses as much as digits as its factorization.

123636352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3261 counting only the distinct ones).

The product of its digits is 19440, while the sum is 31.

The square root of 123636352 is about 11119.1884595954. The cubic root of 123636352 is about 498.1751506187.

Subtracting from 123636352 its sum of digits (31), we obtain a palindrome (123636321).

The spelling of 123636352 in words is "one hundred twenty-three million, six hundred thirty-six thousand, three hundred fifty-two".