8212920 has 64 divisors (see below), whose sum is σ = 24948000. Its totient is φ = 2162688.

The previous prime is 8212913. The next prime is 8212931. The reversal of 8212920 is 292128.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 10296 + ... + 11064.

Almost surely, 2^8212920 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 8212920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12474000).

8212920 is an abundant number, since it is smaller than the sum of its proper divisors (16735080).

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

8212920 is a wasteful number, since it uses less digits than its factorization.

8212920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 8212920 is about 2865.8192545937. The cubic root of 8212920 is about 201.7588207411.

It can be divided in two parts, 821 and 2920, that added together give a triangular number (3741 = T₈₆).

The spelling of 8212920 in words is "eight million, two hundred twelve thousand, nine hundred twenty".