8557164 has 150 divisors (see below), whose sum is σ = 28469364. Its totient is φ = 2222640.

The previous prime is 8557139. The next prime is 8557169. The reversal of 8557164 is 4617558.

8557164 is a `hidden beast` number, since 85 + 571 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8557169) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 777919 + ... + 777929.

Almost surely, 2^8557164 is an apocalyptic number.

8557164 is a gapful number since it is divisible by the number (84) 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 8557164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234682).

8557164 is an abundant number, since it is smaller than the sum of its proper divisors (19912200).

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

8557164 is a wasteful number, since it uses less digits than its factorization.

8557164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 8557164 is about 2925.2630650935. The cubic root of 8557164 is about 204.5392308409.

The spelling of 8557164 in words is "eight million, five hundred fifty-seven thousand, one hundred sixty-four".