128616096 has 96 divisors (see below), whose sum is σ = 394910208. Its totient is φ = 35884800.

The previous prime is 128616091. The next prime is 128616097. The reversal of 128616096 is 690616821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128616091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26671 + ... + 31121.

It is an arithmetic number, because the mean of its divisors is an integer number (4113648).

Almost surely, 2^128616096 is an apocalyptic number.

128616096 is a gapful number since it is divisible by the number (16) 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 128616096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197455104).

128616096 is an abundant number, since it is smaller than the sum of its proper divisors (266294112).

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

128616096 is a wasteful number, since it uses less digits than its factorization.

128616096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 128616096 is about 11340.9036676977. The cubic root of 128616096 is about 504.7757014566.

The spelling of 128616096 in words is "one hundred twenty-eight million, six hundred sixteen thousand, ninety-six".