640604160 has 384 divisors, whose sum is σ = 2610316800. Its totient is φ = 145981440.

The previous prime is 640604147. The next prime is 640604161. The reversal of 640604160 is 61406046.

640604160 is a `hidden beast` number, since 6 + 40 + 604 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640604161) 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 31 ways as a sum of consecutive naturals, for example, 1935195 + ... + 1935525.

It is an arithmetic number, because the mean of its divisors is an integer number (6797700).

Almost surely, 2^640604160 is an apocalyptic number.

640604160 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 640604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305158400).

640604160 is an abundant number, since it is smaller than the sum of its proper divisors (1969712640).

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

640604160 is a wasteful number, since it uses less digits than its factorization.

640604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 640604160 is about 25310.1592251017. The cubic root of 640604160 is about 862.0449622418.

The spelling of 640604160 in words is "six hundred forty million, six hundred four thousand, one hundred sixty".