639588960 has 240 divisors, whose sum is σ = 2390816736. Its totient is φ = 160468992.

The previous prime is 639588959. The next prime is 639588967. The reversal of 639588960 is 69885936.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 639588897 and 639588906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (639588967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218869 + ... + 221771.

Almost surely, 2^639588960 is an apocalyptic number.

639588960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 639588960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195408368).

639588960 is an abundant number, since it is smaller than the sum of its proper divisors (1751227776).

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

639588960 is a wasteful number, since it uses less digits than its factorization.

639588960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 639588960 is about 25290.0960852267. The cubic root of 639588960 is about 861.5893450782.

The spelling of 639588960 in words is "six hundred thirty-nine million, five hundred eighty-eight thousand, nine hundred sixty".