128663040 has 160 divisors (see below), whose sum is σ = 449006976. Its totient is φ = 31170560.

The previous prime is 128663027. The next prime is 128663047. The reversal of 128663040 is 40366821.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 128662989 and 128663007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128663047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 83719 + ... + 85241.

Almost surely, 2^128663040 is an apocalyptic number.

128663040 is a gapful number since it is divisible by the number (10) 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 128663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224503488).

128663040 is an abundant number, since it is smaller than the sum of its proper divisors (320343936).

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

128663040 is a wasteful number, since it uses less digits than its factorization.

128663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 128663040 is about 11342.9731552182. The cubic root of 128663040 is about 504.8371072185.

The spelling of 128663040 in words is "one hundred twenty-eight million, six hundred sixty-three thousand, forty".