123916080 has 80 divisors (see below), whose sum is σ = 386118144. Its totient is φ = 32874240.

The previous prime is 123916073. The next prime is 123916097. The reversal of 123916080 is 80619321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 49417 + ... + 51863.

Almost surely, 2^123916080 is an apocalyptic number.

123916080 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 123916080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193059072).

123916080 is an abundant number, since it is smaller than the sum of its proper divisors (262202064).

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

123916080 is a wasteful number, since it uses less digits than its factorization.

123916080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 123916080 is about 11131.7599686662. The cubic root of 123916080 is about 498.5505757319.

The spelling of 123916080 in words is "one hundred twenty-three million, nine hundred sixteen thousand, eighty".