646125120 has 448 divisors, whose sum is σ = 2488631040. Its totient is φ = 157188096.

The previous prime is 646125113. The next prime is 646125163. The reversal of 646125120 is 21521646.

646125120 is a `hidden beast` number, since 646 + 1 + 2 + 5 + 12 + 0 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7784599 + ... + 7784681.

It is an arithmetic number, because the mean of its divisors is an integer number (5554980).

Almost surely, 2^646125120 is an apocalyptic number.

646125120 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 646125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244315520).

646125120 is an abundant number, since it is smaller than the sum of its proper divisors (1842505920).

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

646125120 is a wasteful number, since it uses less digits than its factorization.

646125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 646125120 is about 25418.9913253850. The cubic root of 646125120 is about 864.5143542290.

Adding to 646125120 its reverse (21521646), we get a palindrome (667646766).

The spelling of 646125120 in words is "six hundred forty-six million, one hundred twenty-five thousand, one hundred twenty".