128417680 has 40 divisors (see below), whose sum is σ = 299302272. Its totient is φ = 51241344.

The previous prime is 128417659. The next prime is 128417687. The reversal of 128417680 is 86714821.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×128417680² = 32982201073164800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (128417687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35307 + ... + 38773.

Almost surely, 2^128417680 is an apocalyptic number.

128417680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128417680 is an abundant number, since it is smaller than the sum of its proper divisors (170884592).

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

128417680 is a wasteful number, since it uses less digits than its factorization.

128417680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 128417680 is about 11332.1524875021. The cubic root of 128417680 is about 504.5159954369.

The spelling of 128417680 in words is "one hundred twenty-eight million, four hundred seventeen thousand, six hundred eighty".