123605416 has 32 divisors (see below), whose sum is σ = 255350880. Its totient is φ = 55624000.

The previous prime is 123605411. The next prime is 123605423. The reversal of 123605416 is 614506321.

It is not an unprimeable number, because it can be changed into a prime (123605411) 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 7 ways as a sum of consecutive naturals, for example, 1935 + ... + 15841.

It is an arithmetic number, because the mean of its divisors is an integer number (7979715).

Almost surely, 2^123605416 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 123605416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127675440).

123605416 is an abundant number, since it is smaller than the sum of its proper divisors (131745464).

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

123605416 is a wasteful number, since it uses less digits than its factorization.

123605416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14025 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 123605416 is about 11117.7972638468. The cubic root of 123605416 is about 498.1335964107.

The spelling of 123605416 in words is "one hundred twenty-three million, six hundred five thousand, four hundred sixteen".