129963648 has 128 divisors (see below), whose sum is σ = 372096000. Its totient is φ = 40061952.

The previous prime is 129963577. The next prime is 129963653. The reversal of 129963648 is 846369921.

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

It is a super-3 number, since 3×129963648³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 129963597 and 129963606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342723 + ... + 343101.

It is an arithmetic number, because the mean of its divisors is an integer number (2907000).

Almost surely, 2^129963648 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 129963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186048000).

129963648 is an abundant number, since it is smaller than the sum of its proper divisors (242132352).

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

129963648 is a wasteful number, since it uses less digits than its factorization.

129963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 129963648 is about 11400.1599988772. The cubic root of 129963648 is about 506.5324790843.

The spelling of 129963648 in words is "one hundred twenty-nine million, nine hundred sixty-three thousand, six hundred forty-eight".