649935000 has 480 divisors, whose sum is σ = 2609727120. Its totient is φ = 144000000.

The previous prime is 649934983. The next prime is 649935001. The reversal of 649935000 is 539946.

649935000 is a `hidden beast` number, since 64 + 9 + 93 + 500 + 0 = 666.

649935000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649935001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6434950 + ... + 6435050.

Almost surely, 2^649935000 is an apocalyptic number.

649935000 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 649935000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304863560).

649935000 is an abundant number, since it is smaller than the sum of its proper divisors (1959792120).

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

649935000 is a wasteful number, since it uses less digits than its factorization.

649935000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 649935000 is about 25493.8227812151. The cubic root of 649935000 is about 866.2102297415.

The spelling of 649935000 in words is "six hundred forty-nine million, nine hundred thirty-five thousand".