820357632 has 200 divisors, whose sum is σ = 2483582112. Its totient is φ = 269568000.

The previous prime is 820357613. The next prime is 820357651. The reversal of 820357632 is 236753028.

820357632 is a `hidden beast` number, since 82 + 0 + 3 + 576 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (820357613) and next prime (820357651).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5432757 + ... + 5432907.

Almost surely, 2^820357632 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 820357632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241791056).

820357632 is an abundant number, since it is smaller than the sum of its proper divisors (1663224480).

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

820357632 is a wasteful number, since it uses less digits than its factorization.

820357632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 820357632 is about 28641.8859714230. The cubic root of 820357632 is about 936.1262157212.

The spelling of 820357632 in words is "eight hundred twenty million, three hundred fifty-seven thousand, six hundred thirty-two".