648000361 has 8 divisors (see below), whose sum is σ = 650887848. Its totient is φ = 645120000.

The previous prime is 648000337. The next prime is 648000371. The reversal of 648000361 is 163000846.

It can be written as a sum of positive squares in 4 ways, for example, as 201100761 + 446899600 = 14181^2 + 21140^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(648000361) divides (648000361-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 648000361 - 2¹⁷ = 647869289 is a prime.

It is a super-2 number, since 2×648000361² = 839808935712260642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (648000371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255781 + ... + 258301.

It is an arithmetic number, because the mean of its divisors is an integer number (81360981).

Almost surely, 2^648000361 is an apocalyptic number.

It is an amenable number.

648000361 is a deficient number, since it is larger than the sum of its proper divisors (2887487).

648000361 is a wasteful number, since it uses less digits than its factorization.

648000361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 648000361 is about 25455.8512134244. The cubic root of 648000361 is about 865.3499028795.

The spelling of 648000361 in words is "six hundred forty-eight million, three hundred sixty-one", and thus it is an aban number.