128217600 has 480 divisors, whose sum is σ = 548000640. Its totient is φ = 28753920.

The previous prime is 128217599. The next prime is 128217667. The reversal of 128217600 is 6712821.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419174 + ... + 2419226.

It is an arithmetic number, because the mean of its divisors is an integer number (1141668).

Almost surely, 2^128217600 is an apocalyptic number.

128217600 is a gapful number since it is divisible by the number (10) 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 128217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274000320).

128217600 is an abundant number, since it is smaller than the sum of its proper divisors (419783040).

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

128217600 is an equidigital number, since it uses as much as digits as its factorization.

128217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 128217600 is about 11323.3210676020. The cubic root of 128217600 is about 504.2538403854.

The spelling of 128217600 in words is "one hundred twenty-eight million, two hundred seventeen thousand, six hundred".