649641600 has 384 divisors, whose sum is σ = 2433475200. Its totient is φ = 169205760.

The previous prime is 649641571. The next prime is 649641607. The reversal of 649641600 is 6146946.

649641600 is a `hidden beast` number, since 6 + 4 + 9 + 6 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (649641607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6307149 + ... + 6307251.

It is an arithmetic number, because the mean of its divisors is an integer number (6337175).

Almost surely, 2^649641600 is an apocalyptic number.

649641600 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 649641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216737600).

649641600 is an abundant number, since it is smaller than the sum of its proper divisors (1783833600).

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

649641600 is a wasteful number, since it uses less digits than its factorization.

649641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 649641600 is about 25488.0677965200. The cubic root of 649641600 is about 866.0798657646.

It can be divided in two parts, 64964 and 1600, that added together give a square (66564 = 258²).

The spelling of 649641600 in words is "six hundred forty-nine million, six hundred forty-one thousand, six hundred".