123390624 has 144 divisors (see below), whose sum is σ = 399204288. Its totient is φ = 33159168.

The previous prime is 123390623. The next prime is 123390629. The reversal of 123390624 is 426093321.

It is a super-2 number, since 2×123390624² = 30450492182218752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123390591 and 123390600.

It is not an unprimeable number, because it can be changed into a prime (123390623) 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 23 ways as a sum of consecutive naturals, for example, 79197 + ... + 80739.

It is an arithmetic number, because the mean of its divisors is an integer number (2772252).

Almost surely, 2^123390624 is an apocalyptic number.

123390624 is a gapful number since it is divisible by the number (14) 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 123390624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199602144).

123390624 is an abundant number, since it is smaller than the sum of its proper divisors (275813664).

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

123390624 is a wasteful number, since it uses less digits than its factorization.

123390624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 123390624 is about 11108.1332365074. The cubic root of 123390624 is about 497.8448896782.

The spelling of 123390624 in words is "one hundred twenty-three million, three hundred ninety thousand, six hundred twenty-four".