820520193240 has 1536 divisors, whose sum is σ = 3301453209600. Its totient is φ = 174440448000.

The previous prime is 820520193211. The next prime is 820520193331. The reversal of 820520193240 is 42391025028.

It is a happy number.

820520193240 is a `hidden beast` number, since 8 + 2 + 0 + 520 + 1 + 93 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 820520193195 and 820520193204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10386331521 + ... + 10386331599.

It is an arithmetic number, because the mean of its divisors is an integer number (2149383600).

Almost surely, 2^820520193240 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 820520193240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650726604800).

820520193240 is an abundant number, since it is smaller than the sum of its proper divisors (2480933016360).

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

820520193240 is a wasteful number, since it uses less digits than its factorization.

820520193240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 820520193240 in words is "eight hundred twenty billion, five hundred twenty million, one hundred ninety-three thousand, two hundred forty".