123660768 has 96 divisors (see below), whose sum is σ = 404732160. Its totient is φ = 32117760.

The previous prime is 123660763. The next prime is 123660773. The reversal of 123660768 is 867066321.

It is an interprime number because it is at equal distance from previous prime (123660763) and next prime (123660773).

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123660763) 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, 973 + ... + 15756.

It is an arithmetic number, because the mean of its divisors is an integer number (4215960).

Almost surely, 2^123660768 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 123660768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202366080).

123660768 is an abundant number, since it is smaller than the sum of its proper divisors (281071392).

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

123660768 is a wasteful number, since it uses less digits than its factorization.

123660768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16760 (or 16752 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 123660768 is about 11120.2863272490. The cubic root of 123660768 is about 498.2079420636.

The spelling of 123660768 in words is "one hundred twenty-three million, six hundred sixty thousand, seven hundred sixty-eight".