128187684 has 135 divisors (see below), whose sum is σ = 365860803. Its totient is φ = 39128832.

The previous prime is 128187677. The next prime is 128187713. The reversal of 128187684 is 486781821.

The square root of 128187684 is 11322.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 59629284 + 68558400 = 7722^2 + 8280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3464514 + ... + 3464550.

Almost surely, 2^128187684 is an apocalyptic number.

128187684 is the 11322-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128187684

128187684 is an abundant number, since it is smaller than the sum of its proper divisors (237673119).

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

128187684 is a wasteful number, since it uses less digits than its factorization.

128187684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 59 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The cubic root of 128187684 is about 504.2146194795.

It can be divided in two parts, 12818 and 7684, that added together give a palindrome (20502).

The spelling of 128187684 in words is "one hundred twenty-eight million, one hundred eighty-seven thousand, six hundred eighty-four".