648917760 has 144 divisors (see below), whose sum is σ = 2082721536. Its totient is φ = 172191744.

The previous prime is 648917749. The next prime is 648917839. The reversal of 648917760 is 67719846.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332237 + ... + 1332723.

It is an arithmetic number, because the mean of its divisors is an integer number (14463344).

Almost surely, 2^648917760 is an apocalyptic number.

648917760 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 648917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041360768).

648917760 is an abundant number, since it is smaller than the sum of its proper divisors (1433803776).

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

648917760 is a wasteful number, since it uses less digits than its factorization.

648917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 648917760 is about 25473.8642533872. The cubic root of 648917760 is about 865.7580800142.

The spelling of 648917760 in words is "six hundred forty-eight million, nine hundred seventeen thousand, seven hundred sixty".