649964800 has 108 divisors (see below), whose sum is σ = 1648667916. Its totient is φ = 253542400.

The previous prime is 649964779. The next prime is 649964801. The reversal of 649964800 is 8469946.

It can be written as a sum of positive squares in 6 ways, for example, as 109495296 + 540469504 = 10464^2 + 23248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649964801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261162 + ... + 263638.

Almost surely, 2^649964800 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 649964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824333958).

649964800 is an abundant number, since it is smaller than the sum of its proper divisors (998703116).

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

649964800 is a wasteful number, since it uses less digits than its factorization.

649964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 649964800 is about 25494.4072298220. The cubic root of 649964800 is about 866.2234683322.

It can be divided in two parts, 64996 and 4800, that added together give a palindrome (69796).

The spelling of 649964800 in words is "six hundred forty-nine million, nine hundred sixty-four thousand, eight hundred".