649224576 has 384 divisors, whose sum is σ = 2512823040. Its totient is φ = 155381760.

The previous prime is 649224529. The next prime is 649224581. The reversal of 649224576 is 675422946.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1152871 + ... + 1153433.

It is an arithmetic number, because the mean of its divisors is an integer number (6543810).

Almost surely, 2^649224576 is an apocalyptic number.

649224576 is a gapful number since it is divisible by the number (66) 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 649224576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256411520).

649224576 is an abundant number, since it is smaller than the sum of its proper divisors (1863598464).

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

649224576 is a wasteful number, since it uses less digits than its factorization.

649224576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 599 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 649224576 is about 25479.8857140294. The cubic root of 649224576 is about 865.8945054055.

The spelling of 649224576 in words is "six hundred forty-nine million, two hundred twenty-four thousand, five hundred seventy-six".