128686336 has 27 divisors (see below), whose sum is σ = 257232801. Its totient is φ = 64252416.

The previous prime is 128686319. The next prime is 128686367. The reversal of 128686336 is 633686821.

The square root of 128686336 is 11344.

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

It can be written as a sum of positive squares in only one way, i.e., 17172736 + 111513600 = 4144^2 + 10560^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 128686292 and 128686301.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 181150 + ... + 181858.

Almost surely, 2^128686336 is an apocalyptic number.

128686336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128686336 is the 11344-th square number.

It is an amenable number.

128686336 is a deficient number, since it is larger than the sum of its proper divisors (128546465).

128686336 is an frugal number, since it uses more digits than its factorization.

128686336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 711 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The cubic root of 128686336 is about 504.8675743351.

The spelling of 128686336 in words is "one hundred twenty-eight million, six hundred eighty-six thousand, three hundred thirty-six".