648852120 has 480 divisors, whose sum is σ = 2616997680. Its totient is φ = 143700480.

The previous prime is 648852047. The next prime is 648852131. The reversal of 648852120 is 21258846.

648852120 is a `hidden beast` number, since 6 + 488 + 52 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9684327 + ... + 9684393.

Almost surely, 2^648852120 is an apocalyptic number.

648852120 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 648852120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308498840).

648852120 is an abundant number, since it is smaller than the sum of its proper divisors (1968145560).

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

648852120 is a wasteful number, since it uses less digits than its factorization.

648852120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 648852120 is about 25472.5758414810. The cubic root of 648852120 is about 865.7288876779.

The spelling of 648852120 in words is "six hundred forty-eight million, eight hundred fifty-two thousand, one hundred twenty".