123968880 has 240 divisors, whose sum is σ = 493968384. Its totient is φ = 28304640.

The previous prime is 123968849. The next prime is 123968899. The reversal of 123968880 is 88869321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135625 + ... + 136535.

Almost surely, 2^123968880 is an apocalyptic number.

123968880 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 123968880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246984192).

123968880 is an abundant number, since it is smaller than the sum of its proper divisors (369999504).

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

123968880 is an equidigital number, since it uses as much as digits as its factorization.

123968880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 123968880 is about 11134.1313087281. The cubic root of 123968880 is about 498.6213756166.

The spelling of 123968880 in words is "one hundred twenty-three million, nine hundred sixty-eight thousand, eight hundred eighty".