8557920 has 192 divisors, whose sum is σ = 34352640. Its totient is φ = 1949184.

The previous prime is 8557907. The next prime is 8557921. The reversal of 8557920 is 297558.

8557920 is a `hidden beast` number, since 85 + 579 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8557921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30099 + ... + 30381.

It is an arithmetic number, because the mean of its divisors is an integer number (178920).

Almost surely, 2^8557920 is an apocalyptic number.

8557920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176320).

8557920 is an abundant number, since it is smaller than the sum of its proper divisors (25794720).

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

8557920 is a wasteful number, since it uses less digits than its factorization.

8557920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 8557920 is about 2925.3922813872. The cubic root of 8557920 is about 204.5452541412.

The spelling of 8557920 in words is "eight million, five hundred fifty-seven thousand, nine hundred twenty".