123347616 has 96 divisors (see below), whose sum is σ = 372532608. Its totient is φ = 35005440.

The previous prime is 123347611. The next prime is 123347633. The reversal of 123347616 is 616743321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (123347611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115726 + ... + 116786.

It is an arithmetic number, because the mean of its divisors is an integer number (3880548).

Almost surely, 2^123347616 is an apocalyptic number.

123347616 is a gapful number since it is divisible by the number (16) 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 123347616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186266304).

123347616 is an abundant number, since it is smaller than the sum of its proper divisors (249184992).

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

123347616 is a wasteful number, since it uses less digits than its factorization.

123347616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1246 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 123347616 is about 11106.1971889572. The cubic root of 123347616 is about 497.7870414116.

The spelling of 123347616 in words is "one hundred twenty-three million, three hundred forty-seven thousand, six hundred sixteen".