801221184 has 168 divisors, whose sum is σ = 2436876000. Its totient is φ = 250988544.

The previous prime is 801221149. The next prime is 801221191. The reversal of 801221184 is 481122108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1958772 + ... + 1959180.

Almost surely, 2^801221184 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 801221184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218438000).

801221184 is an abundant number, since it is smaller than the sum of its proper divisors (1635654816).

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

801221184 is a wasteful number, since it uses less digits than its factorization.

801221184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 801221184 is about 28305.8507026374. The cubic root of 801221184 is about 928.7898794153.

The spelling of 801221184 in words is "eight hundred one million, two hundred twenty-one thousand, one hundred eighty-four".