123427584 has 144 divisors (see below), whose sum is σ = 417303040. Its totient is φ = 35251200.

The previous prime is 123427559. The next prime is 123427609. The reversal of 123427584 is 485724321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123427559) and next prime (123427609).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47109 + ... + 49659.

Almost surely, 2^123427584 is an apocalyptic number.

123427584 is a gapful number since it is divisible by the number (14) 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 123427584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208651520).

123427584 is an abundant number, since it is smaller than the sum of its proper divisors (293875456).

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

123427584 is an equidigital number, since it uses as much as digits as its factorization.

123427584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2563 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 123427584 is about 11109.7967578169. The cubic root of 123427584 is about 497.8945922938.

The spelling of 123427584 in words is "one hundred twenty-three million, four hundred twenty-seven thousand, five hundred eighty-four".