640575100 has 72 divisors (see below), whose sum is σ = 1520433936. Its totient is φ = 232320000.

The previous prime is 640575083. The next prime is 640575127. The reversal of 640575100 is 1575046.

It is a super-3 number, since 3×640575100³ (a number of 27 digits) contains 333 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, 726660 + ... + 727540.

It is an arithmetic number, because the mean of its divisors is an integer number (21117138).

Almost surely, 2^640575100 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 640575100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760216968).

640575100 is an abundant number, since it is smaller than the sum of its proper divisors (879858836).

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

640575100 is a wasteful number, since it uses less digits than its factorization.

640575100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 640575100 is about 25309.5851408118. The cubic root of 640575100 is about 862.0319269402.

The spelling of 640575100 in words is "six hundred forty million, five hundred seventy-five thousand, one hundred".