649002564 has 96 divisors (see below), whose sum is σ = 1946327040. Its totient is φ = 183177504.

The previous prime is 649002559. The next prime is 649002583. The reversal of 649002564 is 465200946.

649002564 is a `hidden beast` number, since 6 + 4 + 90 + 0 + 2 + 564 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57577 + ... + 67919.

It is an arithmetic number, because the mean of its divisors is an integer number (20274240).

Almost surely, 2^649002564 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 649002564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973163520).

649002564 is an abundant number, since it is smaller than the sum of its proper divisors (1297324476).

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

649002564 is a wasteful number, since it uses less digits than its factorization.

649002564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10446 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 649002564 is about 25475.5287285662. The cubic root of 649002564 is about 865.7957923175.

The spelling of 649002564 in words is "six hundred forty-nine million, two thousand, five hundred sixty-four".