128652624 has 100 divisors (see below), whose sum is σ = 379586196. Its totient is φ = 42052608.

The previous prime is 128652619. The next prime is 128652631. The reversal of 128652624 is 426256821.

It is a happy number.

128652624 is a `hidden beast` number, since 1 + 28 + 6 + 5 + 2 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39690000 + 88962624 = 6300^2 + 9432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67752 + ... + 69624.

Almost surely, 2^128652624 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 128652624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189793098).

128652624 is an abundant number, since it is smaller than the sum of its proper divisors (250933572).

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

128652624 is a wasteful number, since it uses less digits than its factorization.

128652624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1931 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 128652624 is about 11342.5140070445. The cubic root of 128652624 is about 504.8234837122.

The spelling of 128652624 in words is "one hundred twenty-eight million, six hundred fifty-two thousand, six hundred twenty-four".