128418864 has 80 divisors (see below), whose sum is σ = 391403520. Its totient is φ = 35504640.

The previous prime is 128418863. The next prime is 128418877. The reversal of 128418864 is 468814821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (128418863) 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, 4252 + ... + 16580.

It is an arithmetic number, because the mean of its divisors is an integer number (4892544).

Almost surely, 2^128418864 is an apocalyptic number.

128418864 is a gapful number since it is divisible by the number (14) 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 128418864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195701760).

128418864 is an abundant number, since it is smaller than the sum of its proper divisors (262984656).

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

128418864 is a wasteful number, since it uses less digits than its factorization.

128418864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12378 (or 12372 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 128418864 is about 11332.2047281189. The cubic root of 128418864 is about 504.5175459635.

The spelling of 128418864 in words is "one hundred twenty-eight million, four hundred eighteen thousand, eight hundred sixty-four".