820194144 has 288 divisors, whose sum is σ = 2775814272. Its totient is φ = 211411200.

The previous prime is 820194139. The next prime is 820194157. The reversal of 820194144 is 441491028.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6260959 + ... + 6261089.

It is an arithmetic number, because the mean of its divisors is an integer number (9638244).

Almost surely, 2^820194144 is an apocalyptic number.

820194144 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 820194144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387907136).

820194144 is an abundant number, since it is smaller than the sum of its proper divisors (1955620128).

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

820194144 is a wasteful number, since it uses less digits than its factorization.

820194144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 820194144 is about 28639.0318272109. The cubic root of 820194144 is about 936.0640251331.

The spelling of 820194144 in words is "eight hundred twenty million, one hundred ninety-four thousand, one hundred forty-four".