804685644 has 288 divisors, whose sum is σ = 2619993600. Its totient is φ = 212284800.

The previous prime is 804685627. The next prime is 804685691. The reversal of 804685644 is 446586408.

804685644 is a `hidden beast` number, since 80 + 4 + 6 + 8 + 564 + 4 = 666.

It is a super-3 number, since 3×804685644³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 804685644.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5328969 + ... + 5329119.

It is an arithmetic number, because the mean of its divisors is an integer number (9097200).

Almost surely, 2^804685644 is an apocalyptic number.

804685644 is a gapful number since it is divisible by the number (84) 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 804685644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309996800).

804685644 is an abundant number, since it is smaller than the sum of its proper divisors (1815307956).

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

804685644 is a wasteful number, since it uses less digits than its factorization.

804685644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 804685644 is about 28366.9815807040. The cubic root of 804685644 is about 930.1266424832.

The spelling of 804685644 in words is "eight hundred four million, six hundred eighty-five thousand, six hundred forty-four".