128696800 has 72 divisors (see below), whose sum is σ = 332697456. Its totient is φ = 48445440.

The previous prime is 128696761. The next prime is 128696803. The reversal of 128696800 is 8696821.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128696803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8869 + ... + 18331.

It is an arithmetic number, because the mean of its divisors is an integer number (4620798).

Almost surely, 2^128696800 is an apocalyptic number.

128696800 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 128696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166348728).

128696800 is an abundant number, since it is smaller than the sum of its proper divisors (204000656).

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

128696800 is a wasteful number, since it uses less digits than its factorization.

128696800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500 (or 9487 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 128696800 is about 11344.4612036006. The cubic root of 128696800 is about 504.8812582306.

The spelling of 128696800 in words is "one hundred twenty-eight million, six hundred ninety-six thousand, eight hundred".