648117360 has 480 divisors, whose sum is σ = 2576620800. Its totient is φ = 144322560.

The previous prime is 648117347. The next prime is 648117361. The reversal of 648117360 is 63711846.

648117360 is a `hidden beast` number, since 6 + 481 + 173 + 6 + 0 = 666.

It is a super-2 number, since 2×648117360² = 840112224666739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648117361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8878284 + ... + 8878356.

It is an arithmetic number, because the mean of its divisors is an integer number (5367960).

Almost surely, 2^648117360 is an apocalyptic number.

648117360 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 648117360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288310400).

648117360 is an abundant number, since it is smaller than the sum of its proper divisors (1928503440).

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

648117360 is a wasteful number, since it uses less digits than its factorization.

648117360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 648117360 is about 25458.1491864589. The cubic root of 648117360 is about 865.4019805154.

The spelling of 648117360 in words is "six hundred forty-eight million, one hundred seventeen thousand, three hundred sixty".