648916272 has 200 divisors, whose sum is σ = 2009635760. Its totient is φ = 202113792.

The previous prime is 648916271. The next prime is 648916277. The reversal of 648916272 is 272619846.

It is a happy number.

648916272 is a `hidden beast` number, since 6 + 489 + 162 + 7 + 2 = 666.

648916272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648916271) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8889228 + ... + 8889300.

Almost surely, 2^648916272 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 648916272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004817880).

648916272 is an abundant number, since it is smaller than the sum of its proper divisors (1360719488).

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

648916272 is an equidigital number, since it uses as much as digits as its factorization.

648916272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 97 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 648916272 is about 25473.8350469653. The cubic root of 648916272 is about 865.7574182719.

The spelling of 648916272 in words is "six hundred forty-eight million, nine hundred sixteen thousand, two hundred seventy-two".