6128400 has 60 divisors (see below), whose sum is σ = 19635152. Its totient is φ = 1633920.

The previous prime is 6128387. The next prime is 6128411. The reversal of 6128400 is 48216.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1354 + ... + 3753.

Almost surely, 2^6128400 is an apocalyptic number.

6128400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6128400 is an abundant number, since it is smaller than the sum of its proper divisors (13506752).

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

6128400 is a wasteful number, since it uses less digits than its factorization.

6128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6128400 is about 2475.5605425842. The cubic root of 6128400 is about 182.9991340399. Note that the first 3 decimals are identical.

The spelling of 6128400 in words is "six million, one hundred twenty-eight thousand, four hundred".