124887168 has 192 divisors, whose sum is σ = 435352320. Its totient is φ = 33546240.

The previous prime is 124887167. The next prime is 124887187. The reversal of 124887168 is 861788421.

124887168 is a `hidden beast` number, since 1 + 2 + 488 + 7 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×124887168³ (a number of 25 digits) contains 333 as substring.

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 (124887163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136633 + ... + 137543.

It is an arithmetic number, because the mean of its divisors is an integer number (2267460).

Almost surely, 2^124887168 is an apocalyptic number.

124887168 is a gapful number since it is divisible by the number (18) 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 124887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217676160).

124887168 is an abundant number, since it is smaller than the sum of its proper divisors (310465152).

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

124887168 is a wasteful number, since it uses less digits than its factorization.

124887168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 940 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 124887168 is about 11175.2927478433. The cubic root of 124887168 is about 499.8495120446.

The spelling of 124887168 in words is "one hundred twenty-four million, eight hundred eighty-seven thousand, one hundred sixty-eight".