124896384 has 128 divisors (see below), whose sum is σ = 374544000. Its totient is φ = 40965120.

The previous prime is 124896383. The next prime is 124896391. The reversal of 124896384 is 483698421.

It is a happy number.

124896384 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 9 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (124896383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245122 + ... + 245630.

It is an arithmetic number, because the mean of its divisors is an integer number (2926125).

Almost surely, 2^124896384 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 124896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187272000).

124896384 is an abundant number, since it is smaller than the sum of its proper divisors (249647616).

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

124896384 is an equidigital number, since it uses as much as digits as its factorization.

124896384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 585 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 124896384 is about 11175.7050784279. The cubic root of 124896384 is about 499.8618071423.

The spelling of 124896384 in words is "one hundred twenty-four million, eight hundred ninety-six thousand, three hundred eighty-four".