8252820 has 192 divisors, whose sum is σ = 29030400. Its totient is φ = 1935360.

The previous prime is 8252809. The next prime is 8252879. The reversal of 8252820 is 282528.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266205 + ... + 266235.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^8252820 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 8252820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

8252820 is an abundant number, since it is smaller than the sum of its proper divisors (20777580).

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

8252820 is a wasteful number, since it uses less digits than its factorization.

8252820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8252820 is about 2872.7721803164. The cubic root of 8252820 is about 202.0850212303.

The spelling of 8252820 in words is "eight million, two hundred fifty-two thousand, eight hundred twenty".