6401600 has 42 divisors (see below), whose sum is σ = 15755874. Its totient is φ = 2560000.

The previous prime is 6401587. The next prime is 6401609. The reversal of 6401600 is 61046.

6401600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10816 + 6390784 = 104^2 + 2528^2 .

It is not an unprimeable number, because it can be changed into a prime (6401609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 401 + ... + 3600.

Almost surely, 2^6401600 is an apocalyptic number.

It is an amenable number.

6401600 is an abundant number, since it is smaller than the sum of its proper divisors (9354274).

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

6401600 is a wasteful number, since it uses less digits than its factorization.

6401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 6401600 is about 2530.1383361390. The cubic root of 6401600 is about 185.6790240181.

Adding to 6401600 its reverse (61046), we get a palindrome (6462646).

The spelling of 6401600 in words is "six million, four hundred one thousand, six hundred".