646083144 has 288 divisors, whose sum is σ = 2182489920. Its totient is φ = 169019136.

The previous prime is 646083143. The next prime is 646083149. The reversal of 646083144 is 441380646.

646083144 is a `hidden beast` number, since 6 + 4 + 608 + 3 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 646083099 and 646083108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646083143) 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 71 ways as a sum of consecutive naturals, for example, 9642999 + ... + 9643065.

It is an arithmetic number, because the mean of its divisors is an integer number (7578090).

Almost surely, 2^646083144 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 646083144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091244960).

646083144 is an abundant number, since it is smaller than the sum of its proper divisors (1536406776).

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

646083144 is a wasteful number, since it uses less digits than its factorization.

646083144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 646083144 is about 25418.1656301158. The cubic root of 646083144 is about 864.4956325505.

The spelling of 646083144 in words is "six hundred forty-six million, eighty-three thousand, one hundred forty-four".