6400100 has 72 divisors (see below), whose sum is σ = 16332288. Its totient is φ = 2131200.

The previous prime is 6400099. The next prime is 6400117. The reversal of 6400100 is 10046.

It is a super-2 number, since 2×6400100² = 81922560020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28589 + ... + 28811.

Almost surely, 2^6400100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8166144).

6400100 is an abundant number, since it is smaller than the sum of its proper divisors (9932188).

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

6400100 is a wasteful number, since it uses less digits than its factorization.

6400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 6400100 is about 2529.8418922929. The cubic root of 6400100 is about 185.6645203371.

Adding to 6400100 its reverse (10046), we get a palindrome (6410146).

The spelling of 6400100 in words is "six million, four hundred thousand, one hundred".