123536208 has 80 divisors (see below), whose sum is σ = 327836160. Its totient is φ = 40073088.

The previous prime is 123536207. The next prime is 123536219. The reversal of 123536208 is 802635321.

It is a super-2 number, since 2×123536208² = 30522389374038528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123536207) 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, 343933 + ... + 344291.

It is an arithmetic number, because the mean of its divisors is an integer number (4097952).

Almost surely, 2^123536208 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 123536208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080).

123536208 is an abundant number, since it is smaller than the sum of its proper divisors (204299952).

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

123536208 is a wasteful number, since it uses less digits than its factorization.

123536208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 123536208 is about 11114.6843409968. The cubic root of 123536208 is about 498.0406089367.

The spelling of 123536208 in words is "one hundred twenty-three million, five hundred thirty-six thousand, two hundred eight".