649066320 has 240 divisors, whose sum is σ = 2520910080. Its totient is φ = 146589696.

The previous prime is 649066267. The next prime is 649066331. The reversal of 649066320 is 23660946.

649066320 is a `hidden beast` number, since 649 + 0 + 6 + 6 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 447837 + ... + 449283.

It is an arithmetic number, because the mean of its divisors is an integer number (10503792).

Almost surely, 2^649066320 is an apocalyptic number.

649066320 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 649066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260455040).

649066320 is an abundant number, since it is smaller than the sum of its proper divisors (1871843760).

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

649066320 is a wasteful number, since it uses less digits than its factorization.

649066320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 649066320 is about 25476.7800163207. The cubic root of 649066320 is about 865.8241424208.

The spelling of 649066320 in words is "six hundred forty-nine million, sixty-six thousand, three hundred twenty".