128416 has 12 divisors (see below), whose sum is σ = 252882. Its totient is φ = 64192.

The previous prime is 128413. The next prime is 128431. The reversal of 128416 is 614821.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 38416 = 300^2 + 196^2 .

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (128411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1975 + ... + 2038.

2¹²⁸⁴¹⁶ is an apocalyptic number.

128416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

128416 is a deficient number, since it is larger than the sum of its proper divisors (124466).

128416 is an equidigital number, since it uses as much as digits as its factorization.

128416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4015 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 128416 is about 358.3517824708. The cubic root of 128416 is about 50.4513795349.

The spelling of 128416 in words is "one hundred twenty-eight thousand, four hundred sixteen".