128110464 has 128 divisors (see below), whose sum is σ = 398208000. Its totient is φ = 40435200.

The previous prime is 128110457. The next prime is 128110469. The reversal of 128110464 is 464011821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128110469) 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, 64689 + ... + 66639.

It is an arithmetic number, because the mean of its divisors is an integer number (3111000).

Almost surely, 2^128110464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199104000).

128110464 is an abundant number, since it is smaller than the sum of its proper divisors (270097536).

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

128110464 is a wasteful number, since it uses less digits than its factorization.

128110464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 128110464 is about 11318.5893113939. The cubic root of 128110464 is about 504.1133531890.

It can be divided in two parts, 128 and 110464, that added together give a cube (110592 = 48³).

The spelling of 128110464 in words is "one hundred twenty-eight million, one hundred ten thousand, four hundred sixty-four".