640086000 has 80 divisors (see below), whose sum is σ = 2063656608. Its totient is φ = 170688000.

The previous prime is 640085983. The next prime is 640086001. The reversal of 640086000 is 680046.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640086001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47341 + ... + 59340.

Almost surely, 2^640086000 is an apocalyptic number.

640086000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

640086000 is an abundant number, since it is smaller than the sum of its proper divisors (1423570608).

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

640086000 is a wasteful number, since it uses less digits than its factorization.

640086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106707 (or 106691 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 640086000 is about 25299.9209484931. The cubic root of 640086000 is about 861.8124745721.

The spelling of 640086000 in words is "six hundred forty million, eighty-six thousand".