124947648 has 252 divisors, whose sum is σ = 440420760. Its totient is φ = 33675264.

The previous prime is 124947617. The next prime is 124947649. The reversal of 124947648 is 846749421.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×124947648² = 31223829481463808, which contains 22 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 (124947649) 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, 536140 + ... + 536372.

Almost surely, 2^124947648 is an apocalyptic number.

124947648 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 124947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220210380).

124947648 is an abundant number, since it is smaller than the sum of its proper divisors (315473112).

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

124947648 is a wasteful number, since it uses less digits than its factorization.

124947648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 124947648 is about 11177.9983896939. The cubic root of 124947648 is about 499.9301875862.

The spelling of 124947648 in words is "one hundred twenty-four million, nine hundred forty-seven thousand, six hundred forty-eight".