128682624 has 128 divisors (see below), whose sum is σ = 399024000. Its totient is φ = 36728832.

The previous prime is 128682577. The next prime is 128682661. The reversal of 128682624 is 426286821.

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

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

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, 131224 + ... + 132200.

It is an arithmetic number, because the mean of its divisors is an integer number (3117375).

Almost surely, 2^128682624 is an apocalyptic number.

128682624 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 128682624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199512000).

128682624 is an abundant number, since it is smaller than the sum of its proper divisors (270341376).

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

128682624 is an frugal number, since it uses more digits than its factorization.

128682624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 989 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 128682624 is about 11343.8363881008. The cubic root of 128682624 is about 504.8627199310.

The spelling of 128682624 in words is "one hundred twenty-eight million, six hundred eighty-two thousand, six hundred twenty-four".