123968016 has 80 divisors (see below), whose sum is σ = 360800320. Its totient is φ = 40746240.

The previous prime is 123967993. The next prime is 123968017. The reversal of 123968016 is 610869321.

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

It is not an unprimeable number, because it can be changed into a prime (123968017) 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, 29571 + ... + 33501.

It is an arithmetic number, because the mean of its divisors is an integer number (4510004).

Almost surely, 2^123968016 is an apocalyptic number.

123968016 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 123968016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180400160).

123968016 is an abundant number, since it is smaller than the sum of its proper divisors (236832304).

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

123968016 is a wasteful number, since it uses less digits than its factorization.

123968016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 123968016 is about 11134.0925090463. The cubic root of 123968016 is about 498.6202172348.

The spelling of 123968016 in words is "one hundred twenty-three million, nine hundred sixty-eight thousand, sixteen".