124989984 has 216 divisors, whose sum is σ = 438633468. Its totient is φ = 33546240.

The previous prime is 124989983. The next prime is 124989989. The reversal of 124989984 is 489989421.

It can be written as a sum of positive squares in 2 ways, for example, as 124813584 + 176400 = 11172^2 + 420^2 .

It is a super-2 number, since 2×124989984² = 31244992200640512, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 124989984.

It is not an unprimeable number, because it can be changed into a prime (124989983) 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, 239644 + ... + 240164.

Almost surely, 2^124989984 is an apocalyptic number.

124989984 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 124989984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219316734).

124989984 is an abundant number, since it is smaller than the sum of its proper divisors (313643484).

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

124989984 is a wasteful number, since it uses less digits than its factorization.

124989984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 124989984 is about 11179.8919493884. The cubic root of 124989984 is about 499.9866449766.

The spelling of 124989984 in words is "one hundred twenty-four million, nine hundred eighty-nine thousand, nine hundred eighty-four".