123960672 has 96 divisors (see below), whose sum is σ = 394450560. Its totient is φ = 37560960.

The previous prime is 123960647. The next prime is 123960691. The reversal of 123960672 is 276069321.

123960672 is a `hidden beast` number, since 12 + 39 + 606 + 7 + 2 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2983 + ... + 16025.

It is an arithmetic number, because the mean of its divisors is an integer number (4108860).

Almost surely, 2^123960672 is an apocalyptic number.

123960672 is a gapful number since it is divisible by the number (12) 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 123960672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197225280).

123960672 is an abundant number, since it is smaller than the sum of its proper divisors (270489888).

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

123960672 is a wasteful number, since it uses less digits than its factorization.

123960672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13073 (or 13059 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 123960672 is about 11133.7627062912. The cubic root of 123960672 is about 498.6103707725.

The spelling of 123960672 in words is "one hundred twenty-three million, nine hundred sixty thousand, six hundred seventy-two".