820674252 has 72 divisors (see below), whose sum is σ = 2216135376. Its totient is φ = 255166464.

The previous prime is 820674241. The next prime is 820674263. The reversal of 820674252 is 252476028.

It is an interprime number because it is at equal distance from previous prime (820674241) and next prime (820674263).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63223 + ... + 75089.

It is an arithmetic number, because the mean of its divisors is an integer number (30779658).

Almost surely, 2^820674252 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 820674252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108067688).

820674252 is an abundant number, since it is smaller than the sum of its proper divisors (1395461124).

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

820674252 is a wasteful number, since it uses less digits than its factorization.

820674252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12007 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 820674252 is about 28647.4126580395. The cubic root of 820674252 is about 936.2466339987.

The spelling of 820674252 in words is "eight hundred twenty million, six hundred seventy-four thousand, two hundred fifty-two".