123971584 has 48 divisors (see below), whose sum is σ = 270466560. Its totient is φ = 56340480.

The previous prime is 123971579. The next prime is 123971621. The reversal of 123971584 is 485179321.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19777 + ... + 25279.

It is an arithmetic number, because the mean of its divisors is an integer number (5634720).

Almost surely, 2^123971584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123971584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135233280).

123971584 is an abundant number, since it is smaller than the sum of its proper divisors (146494976).

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

123971584 is an equidigital number, since it uses as much as digits as its factorization.

123971584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5516 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 123971584 is about 11134.2527364884. The cubic root of 123971584 is about 498.6250008877.

The spelling of 123971584 in words is "one hundred twenty-three million, nine hundred seventy-one thousand, five hundred eighty-four".