649962720 has 288 divisors, whose sum is σ = 2487270240. Its totient is φ = 153169920.

The previous prime is 649962707. The next prime is 649962737. The reversal of 649962720 is 27269946.

649962720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 585526 + ... + 586634.

It is an arithmetic number, because the mean of its divisors is an integer number (8636355).

Almost surely, 2^649962720 is an apocalyptic number.

649962720 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 649962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243635120).

649962720 is an abundant number, since it is smaller than the sum of its proper divisors (1837307520).

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

649962720 is a wasteful number, since it uses less digits than its factorization.

649962720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 649962720 is about 25494.3664365287. The cubic root of 649962720 is about 866.2225443095. Note that the first 3 decimals are identical.

It can be divided in two parts, 649 and 962720, that added together give a palindrome (963369).

The spelling of 649962720 in words is "six hundred forty-nine million, nine hundred sixty-two thousand, seven hundred twenty".