128418816 has 88 divisors (see below), whose sum is σ = 362564640. Its totient is φ = 40271872.

The previous prime is 128418811. The next prime is 128418817. The reversal of 128418816 is 618814821.

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 (128418811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50995 + ... + 53453.

Almost surely, 2^128418816 is an apocalyptic number.

128418816 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 128418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181282320).

128418816 is an abundant number, since it is smaller than the sum of its proper divisors (234145824).

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

128418816 is a wasteful number, since it uses less digits than its factorization.

128418816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2481 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 128418816 is about 11332.2026102607. The cubic root of 128418816 is about 504.5174831045.

It can be divided in two parts, 1284 and 18816, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 128418816 in words is "one hundred twenty-eight million, four hundred eighteen thousand, eight hundred sixteen".