649080432 has 640 divisors, whose sum is σ = 2666496000. Its totient is φ = 145566720.

The previous prime is 649080431. The next prime is 649080433. The reversal of 649080432 is 234080946.

It is a happy number.

649080432 is a `hidden beast` number, since 64 + 90 + 80 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (649080431) and next prime (649080433).

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 (649080431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8216169 + ... + 8216247.

It is an arithmetic number, because the mean of its divisors is an integer number (4166400).

Almost surely, 2^649080432 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 649080432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333248000).

649080432 is an abundant number, since it is smaller than the sum of its proper divisors (2017415568).

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

649080432 is a wasteful number, since it uses less digits than its factorization.

649080432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 649080432 is about 25477.0569728923. The cubic root of 649080432 is about 865.8304172915.

The spelling of 649080432 in words is "six hundred forty-nine million, eighty thousand, four hundred thirty-two".