801063648 has 192 divisors, whose sum is σ = 2913200640. Its totient is φ = 208051200.

The previous prime is 801063631. The next prime is 801063671. The reversal of 801063648 is 846360108.

It is a happy number.

801063648 is a `hidden beast` number, since 8 + 0 + 1 + 0 + 6 + 3 + 648 = 666.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60508 + ... + 72548.

It is an arithmetic number, because the mean of its divisors is an integer number (15172920).

Almost surely, 2^801063648 is an apocalyptic number.

801063648 is a gapful number since it is divisible by the number (88) 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 801063648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456600320).

801063648 is an abundant number, since it is smaller than the sum of its proper divisors (2112136992).

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

801063648 is a wasteful number, since it uses less digits than its factorization.

801063648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12078 (or 12064 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 801063648 is about 28303.0678195845. The cubic root of 801063648 is about 928.7290025788.

The spelling of 801063648 in words is "eight hundred one million, sixty-three thousand, six hundred forty-eight".