648072960 has 72 divisors (see below), whose sum is σ = 2069795280. Its totient is φ = 172818432.

The previous prime is 648072941. The next prime is 648072961. The reversal of 648072960 is 69270846.

It is a super-2 number, since 2×648072960² = 839997122966323200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648072961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 80545 + ... + 88224.

Almost surely, 2^648072960 is an apocalyptic number.

648072960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

648072960 is an abundant number, since it is smaller than the sum of its proper divisors (1421722320).

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

648072960 is a wasteful number, since it uses less digits than its factorization.

648072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168793 (or 168779 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 648072960 is about 25457.2771521229. The cubic root of 648072960 is about 865.3822182893.

The spelling of 648072960 in words is "six hundred forty-eight million, seventy-two thousand, nine hundred sixty".