8356920 has 128 divisors (see below), whose sum is σ = 29514240. Its totient is φ = 1866240.

The previous prime is 8356919. The next prime is 8356961. The reversal of 8356920 is 296538.

It is a happy number.

It is a super-2 number, since 2×8356920² = 139676223772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16917 + ... + 17403.

It is an arithmetic number, because the mean of its divisors is an integer number (230580).

Almost surely, 2^8356920 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 8356920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757120).

8356920 is an abundant number, since it is smaller than the sum of its proper divisors (21157320).

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

8356920 is a wasteful number, since it uses less digits than its factorization.

8356920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 8356920 is about 2890.8337897569. The cubic root of 8356920 is about 202.9311648322.

The spelling of 8356920 in words is "eight million, three hundred fifty-six thousand, nine hundred twenty".