649341120 has 224 divisors, whose sum is σ = 2150156736. Its totient is φ = 165888000.

The previous prime is 649341113. The next prime is 649341137. The reversal of 649341120 is 21143946.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 3587430 + ... + 3587610.

It is an arithmetic number, because the mean of its divisors is an integer number (9598914).

Almost surely, 2^649341120 is an apocalyptic number.

649341120 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 649341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075078368).

649341120 is an abundant number, since it is smaller than the sum of its proper divisors (1500815616).

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

649341120 is a wasteful number, since it uses less digits than its factorization.

649341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 649341120 is about 25482.1725918337. The cubic root of 649341120 is about 865.9463153005.

The spelling of 649341120 in words is "six hundred forty-nine million, three hundred forty-one thousand, one hundred twenty".