123484608 has 224 divisors, whose sum is σ = 409651200. Its totient is φ = 36191232.

The previous prime is 123484601. The next prime is 123484609. The reversal of 123484608 is 806484321.

123484608 is a `hidden beast` number, since 1 + 2 + 3 + 48 + 4 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123484601) 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 31 ways as a sum of consecutive naturals, for example, 516553 + ... + 516791.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^123484608 is an apocalyptic number.

123484608 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 123484608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

123484608 is an abundant number, since it is smaller than the sum of its proper divisors (286166592).

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

123484608 is a wasteful number, since it uses less digits than its factorization.

123484608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 123484608 is about 11112.3628450479. The cubic root of 123484608 is about 497.9712568691.

The spelling of 123484608 in words is "one hundred twenty-three million, four hundred eighty-four thousand, six hundred eight".