640001600 has 84 divisors (see below), whose sum is σ = 1799807424. Its totient is φ = 219425280.

The previous prime is 640001591. The next prime is 640001627. The reversal of 640001600 is 6100046.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17372 + ... + 39771.

Almost surely, 2^640001600 is an apocalyptic number.

It is an amenable number.

640001600 is an abundant number, since it is smaller than the sum of its proper divisors (1159805824).

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

640001600 is a wasteful number, since it uses less digits than its factorization.

640001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57172 (or 57157 counting only the distinct ones).

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

The square root of 640001600 is about 25298.2529041039. The cubic root of 640001600 is about 861.7745941571.

Adding to 640001600 its reverse (6100046), we get a palindrome (646101646).

It can be divided in two parts, 64000 and 1600, that multiplied together give a 5-th power (102400000 = 40⁵).

The spelling of 640001600 in words is "six hundred forty million, one thousand, six hundred".