648228160 has 112 divisors (see below), whose sum is σ = 1616787216. Its totient is φ = 247283712.

The previous prime is 648228137. The next prime is 648228169. The reversal of 648228160 is 61822846.

It can be written as a sum of positive squares in 8 ways, for example, as 188897536 + 459330624 = 13744^2 + 21432^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648228169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627004 + ... + 628036.

Almost surely, 2^648228160 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 648228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808393608).

648228160 is an abundant number, since it is smaller than the sum of its proper divisors (968559056).

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

648228160 is a wasteful number, since it uses less digits than its factorization.

648228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 648228160 is about 25460.3252139481. The cubic root of 648228160 is about 865.4512931254.

The spelling of 648228160 in words is "six hundred forty-eight million, two hundred twenty-eight thousand, one hundred sixty".