649646000 has 80 divisors (see below), whose sum is σ = 1613483040. Its totient is φ = 252806400.

The previous prime is 649645987. The next prime is 649646009. The reversal of 649646000 is 646946.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (649646009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69611 + ... + 78389.

It is an arithmetic number, because the mean of its divisors is an integer number (20168538).

Almost surely, 2^649646000 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 649646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806741520).

649646000 is an abundant number, since it is smaller than the sum of its proper divisors (963837040).

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

649646000 is a wasteful number, since it uses less digits than its factorization.

649646000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8839 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 649646000 is about 25488.1541112729. The cubic root of 649646000 is about 866.0818210698.

The spelling of 649646000 in words is "six hundred forty-nine million, six hundred forty-six thousand".