649888960 has 224 divisors, whose sum is σ = 1872691200. Its totient is φ = 214502400.

The previous prime is 649888957. The next prime is 649888973. The reversal of 649888960 is 69888946.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 649888895 and 649888904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3402465 + ... + 3402655.

Almost surely, 2^649888960 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 649888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936345600).

649888960 is an abundant number, since it is smaller than the sum of its proper divisors (1222802240).

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

649888960 is a wasteful number, since it uses less digits than its factorization.

649888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The square root of 649888960 is about 25492.9198013880. The cubic root of 649888960 is about 866.1897757676.

The spelling of 649888960 in words is "six hundred forty-nine million, eight hundred eighty-eight thousand, nine hundred sixty".