648984960 has 448 divisors, whose sum is σ = 2528502480. Its totient is φ = 158257152.

The previous prime is 648984949. The next prime is 648984961. The reversal of 648984960 is 69489846.

648984960 is a `hidden beast` number, since 64 + 8 + 98 + 496 + 0 = 666.

It is a super-3 number, since 3×648984960³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 648984897 and 648984906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648984961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6065227 + ... + 6065333.

Almost surely, 2^648984960 is an apocalyptic number.

648984960 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 648984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264251240).

648984960 is an abundant number, since it is smaller than the sum of its proper divisors (1879517520).

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

648984960 is a wasteful number, since it uses less digits than its factorization.

648984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 648984960 is about 25475.1832181831. The cubic root of 648984960 is about 865.7879640963.

The spelling of 648984960 in words is "six hundred forty-eight million, nine hundred eighty-four thousand, nine hundred sixty".