8900164 has 48 divisors (see below), whose sum is σ = 19600000. Its totient is φ = 3513888.

The previous prime is 8900161. The next prime is 8900179. The reversal of 8900164 is 4610098.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (8900161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17587 + ... + 18085.

Almost surely, 2^8900164 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 8900164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9800000).

8900164 is an abundant number, since it is smaller than the sum of its proper divisors (10699836).

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

8900164 is a wasteful number, since it uses less digits than its factorization.

8900164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 8900164 is about 2983.3142643711. The cubic root of 8900164 is about 207.2363827029.

The spelling of 8900164 in words is "eight million, nine hundred thousand, one hundred sixty-four".