648032616 has 256 divisors, whose sum is σ = 2294784000. Its totient is φ = 164540160.

The previous prime is 648032611. The next prime is 648032617. The reversal of 648032616 is 616230846.

648032616 is a `hidden beast` number, since 6 + 4 + 8 + 0 + 32 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (648032611) 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 63 ways as a sum of consecutive naturals, for example, 781290 + ... + 782118.

It is an arithmetic number, because the mean of its divisors is an integer number (8964000).

Almost surely, 2^648032616 is an apocalyptic number.

648032616 is a gapful number since it is divisible by the number (66) 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 648032616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147392000).

648032616 is an abundant number, since it is smaller than the sum of its proper divisors (1646751384).

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

648032616 is a wasteful number, since it uses less digits than its factorization.

648032616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 648032616 is about 25456.4847533983. The cubic root of 648032616 is about 865.3642605865.

The spelling of 648032616 in words is "six hundred forty-eight million, thirty-two thousand, six hundred sixteen".