649611900 has 504 divisors, whose sum is σ = 2580529280. Its totient is φ = 138568320.

The previous prime is 649611899. The next prime is 649611917. The reversal of 649611900 is 9116946.

649611900 is a `hidden beast` number, since 649 + 6 + 1 + 1 + 9 + 0 + 0 = 666.

649611900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×649611900² = 843991241243220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9695667 + ... + 9695733.

Almost surely, 2^649611900 is an apocalyptic number.

649611900 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 649611900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290264640).

649611900 is an abundant number, since it is smaller than the sum of its proper divisors (1930917380).

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

649611900 is a wasteful number, since it uses less digits than its factorization.

649611900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 649611900 is about 25487.4851642919. The cubic root of 649611900 is about 866.0666672235.

The spelling of 649611900 in words is "six hundred forty-nine million, six hundred eleven thousand, nine hundred".