640092960 has 288 divisors, whose sum is σ = 2430425088. Its totient is φ = 152340480.

The previous prime is 640092941. The next prime is 640092961. The reversal of 640092960 is 69290046.

640092960 is a `hidden beast` number, since 640 + 0 + 9 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (640092961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 579769 + ... + 580871.

It is an arithmetic number, because the mean of its divisors is an integer number (8438976).

Almost surely, 2^640092960 is an apocalyptic number.

640092960 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 640092960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215212544).

640092960 is an abundant number, since it is smaller than the sum of its proper divisors (1790332128).

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

640092960 is a wasteful number, since it uses less digits than its factorization.

640092960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 640092960 is about 25300.0584979561. The cubic root of 640092960 is about 861.8155982113.

The spelling of 640092960 in words is "six hundred forty million, ninety-two thousand, nine hundred sixty".