123456960 has 280 divisors, whose sum is σ = 480188016. Its totient is φ = 29859840.

The previous prime is 123456937. The next prime is 123456967. The reversal of 123456960 is 69654321.

It is a happy number.

123456960 is a `hidden beast` number, since 1 + 2 + 34 + 569 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123456967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284904 + ... + 285336.

Almost surely, 2^123456960 is an apocalyptic number.

123456960 is a gapful number since it is divisible by the number (10) 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 123456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240094008).

123456960 is an abundant number, since it is smaller than the sum of its proper divisors (356731056).

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

123456960 is a wasteful number, since it uses less digits than its factorization.

123456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 123456960 is about 11111.1187555529. The cubic root of 123456960 is about 497.9340891141.

The spelling of 123456960 in words is "one hundred twenty-three million, four hundred fifty-six thousand, nine hundred sixty".