820153236 has 192 divisors, whose sum is σ = 2427715584. Its totient is φ = 210124800.

The previous prime is 820153223. The next prime is 820153247. The reversal of 820153236 is 632351028.

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 63 ways as a sum of consecutive naturals, for example, 4293901 + ... + 4294091.

It is an arithmetic number, because the mean of its divisors is an integer number (12644352).

Almost surely, 2^820153236 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 820153236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213857792).

820153236 is an abundant number, since it is smaller than the sum of its proper divisors (1607562348).

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

820153236 is a wasteful number, since it uses less digits than its factorization.

820153236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 820153236 is about 28638.3176181842. The cubic root of 820153236 is about 936.0484624992.

The spelling of 820153236 in words is "eight hundred twenty million, one hundred fifty-three thousand, two hundred thirty-six".