640090000 has 225 divisors, whose sum is σ = 1780694839. Its totient is φ = 222640000.

The previous prime is 640089907. The next prime is 640090013. The reversal of 640090000 is 90046.

It is a happy number.

The square root of 640090000 is 25300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 50183056 + 589906944 = 7084^2 + 24288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 640090000.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27829989 + ... + 27830011.

Almost surely, 2^640090000 is an apocalyptic number.

640090000 is the 25300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640090000

640090000 is an abundant number, since it is smaller than the sum of its proper divisors (1140604839).

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

640090000 is a wasteful number, since it uses less digits than its factorization.

640090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 640090000 is about 861.8142697698.

It can be divided in two parts, 6400 and 90000, that multiplied together give a square (576000000 = 24000²).

The spelling of 640090000 in words is "six hundred forty million, ninety thousand".