650384640 has 504 divisors, whose sum is σ = 2533460328. Its totient is φ = 159252480.

The previous prime is 650384617. The next prime is 650384723. The reversal of 650384640 is 46483056.

650384640 is a `hidden beast` number, since 6 + 5 + 0 + 3 + 8 + 4 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22581504 + 627803136 = 4752^2 + 25056^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 650384595 and 650384604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15863020 + ... + 15863060.

It is an arithmetic number, because the mean of its divisors is an integer number (5026707).

Almost surely, 2^650384640 is an apocalyptic number.

650384640 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 650384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266730164).

650384640 is an abundant number, since it is smaller than the sum of its proper divisors (1883075688).

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

650384640 is an equidigital number, since it uses as much as digits as its factorization.

650384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 650384640 is about 25502.6398633553. The cubic root of 650384640 is about 866.4099384224.

The spelling of 650384640 in words is "six hundred fifty million, three hundred eighty-four thousand, six hundred forty".