649941120 has 192 divisors, whose sum is σ = 2287747800. Its totient is φ = 169967616.

The previous prime is 649941079. The next prime is 649941191. The reversal of 649941120 is 21149946.

It is a happy number.

649941120 is a `hidden beast` number, since 6 + 499 + 41 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 512207424 + 137733696 = 22632^2 + 11736^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304216 + ... + 306344.

Almost surely, 2^649941120 is an apocalyptic number.

649941120 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 649941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143873900).

649941120 is an abundant number, since it is smaller than the sum of its proper divisors (1637806680).

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

649941120 is a wasteful number, since it uses less digits than its factorization.

649941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 649941120 is about 25493.9428100088. The cubic root of 649941120 is about 866.2129485724.

The spelling of 649941120 in words is "six hundred forty-nine million, nine hundred forty-one thousand, one hundred twenty".