648328801 has 8 divisors (see below), whose sum is σ = 661706408. Its totient is φ = 635040000.

The previous prime is 648328789. The next prime is 648328861. The reversal of 648328801 is 108823846.

It can be written as a sum of positive squares in 4 ways, for example, as 213189201 + 435139600 = 14601^2 + 20860^2 .

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

It is a 4-Lehmer number, since φ(648328801) divides (648328801-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 648328801 - 2¹⁷ = 648197729 is a prime.

It is a super-3 number, since 3×648328801³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (648328861) 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, 7350 + ... + 36751.

It is an arithmetic number, because the mean of its divisors is an integer number (82713301).

It is a Poulet number, since it divides 2^648328800-1.

Almost surely, 2^648328801 is an apocalyptic number.

648328801 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

648328801 is the 14701-st octagonal number.

It is an amenable number.

648328801 is a deficient number, since it is larger than the sum of its proper divisors (13377607).

648328801 is a wasteful number, since it uses less digits than its factorization.

648328801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44403.

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 648328801 is about 25462.3015652553. The cubic root of 648328801 is about 865.4960795045.

The spelling of 648328801 in words is "six hundred forty-eight million, three hundred twenty-eight thousand, eight hundred one".