123466560 has 224 divisors, whose sum is σ = 472074240. Its totient is φ = 26707968.

The previous prime is 123466549. The next prime is 123466571. The reversal of 123466560 is 65664321.

It is an interprime number because it is at equal distance from previous prime (123466549) and next prime (123466571).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127197 + ... + 128163.

Almost surely, 2^123466560 is an apocalyptic number.

123466560 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 123466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236037120).

123466560 is an abundant number, since it is smaller than the sum of its proper divisors (348607680).

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

123466560 is a wasteful number, since it uses less digits than its factorization.

123466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 123466560 is about 11111.5507468580. The cubic root of 123466560 is about 497.9469952134.

The spelling of 123466560 in words is "one hundred twenty-three million, four hundred sixty-six thousand, five hundred sixty".