648579360 has 288 divisors, whose sum is σ = 2421195840. Its totient is φ = 144967680.

The previous prime is 648579341. The next prime is 648579397. The reversal of 648579360 is 63975846.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 754611 + ... + 755469.

It is an arithmetic number, because the mean of its divisors is an integer number (8406930).

Almost surely, 2^648579360 is an apocalyptic number.

648579360 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 648579360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210597920).

648579360 is an abundant number, since it is smaller than the sum of its proper divisors (1772616480).

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

648579360 is a wasteful number, since it uses less digits than its factorization.

648579360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 648579360 is about 25467.2212854092. The cubic root of 648579360 is about 865.6075609532.

The spelling of 648579360 in words is "six hundred forty-eight million, five hundred seventy-nine thousand, three hundred sixty".