128963406 has 128 divisors (see below), whose sum is σ = 322237440. Its totient is φ = 33868800.

The previous prime is 128963339. The next prime is 128963447. The reversal of 128963406 is 604369821.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766586 + ... + 1766658.

It is an arithmetic number, because the mean of its divisors is an integer number (2517480).

Almost surely, 2^128963406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128963406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

128963406 is an abundant number, since it is smaller than the sum of its proper divisors (193274034).

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

128963406 is a wasteful number, since it uses less digits than its factorization.

128963406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 128963406 is about 11356.2056163139. The cubic root of 128963406 is about 505.2296521082.

The spelling of 128963406 in words is "one hundred twenty-eight million, nine hundred sixty-three thousand, four hundred six".