640093104 has 240 divisors, whose sum is σ = 2199025920. Its totient is φ = 176359680.

The previous prime is 640093099. The next prime is 640093121. The reversal of 640093104 is 401390046.

640093104 is a `hidden beast` number, since 640 + 0 + 9 + 3 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788859 + ... + 789669.

It is an arithmetic number, because the mean of its divisors is an integer number (9162608).

Almost surely, 2^640093104 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 640093104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099512960).

640093104 is an abundant number, since it is smaller than the sum of its proper divisors (1558932816).

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

640093104 is a wasteful number, since it uses less digits than its factorization.

640093104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 640093104 is about 25300.0613437991. The cubic root of 640093104 is about 861.8156628380.

The spelling of 640093104 in words is "six hundred forty million, ninety-three thousand, one hundred four".