648613000 has 256 divisors, whose sum is σ = 1857024000. Its totient is φ = 211680000.

The previous prime is 648612983. The next prime is 648613033. The reversal of 648613000 is 316846.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 648613000.

It is an unprimeable number.

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, 10632970 + ... + 10633030.

It is an arithmetic number, because the mean of its divisors is an integer number (7254000).

Almost surely, 2^648613000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928512000).

648613000 is an abundant number, since it is smaller than the sum of its proper divisors (1208411000).

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

648613000 is a wasteful number, since it uses less digits than its factorization.

648613000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 648613000 is about 25467.8817336660. The cubic root of 648613000 is about 865.6225262433.

Adding to 648613000 its reverse (316846), we get a palindrome (648929846).

The spelling of 648613000 in words is "six hundred forty-eight million, six hundred thirteen thousand".