123513984 has 288 divisors, whose sum is σ = 424373040. Its totient is φ = 35458560.

The previous prime is 123513937. The next prime is 123513989. The reversal of 123513984 is 489315321.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (123513989) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6500727 + ... + 6500745.

Almost surely, 2^123513984 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 123513984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212186520).

123513984 is an abundant number, since it is smaller than the sum of its proper divisors (300859056).

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

123513984 is an equidigital number, since it uses as much as digits as its factorization.

123513984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 35 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 123513984 is about 11113.6845375420. The cubic root of 123513984 is about 498.0107415305.

The spelling of 123513984 in words is "one hundred twenty-three million, five hundred thirteen thousand, nine hundred eighty-four".