8935164 has 96 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 2493504.

The previous prime is 8935153. The next prime is 8935177. The reversal of 8935164 is 4615398.

8935164 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

Its product of digits (25920) is a multiple of the sum of its prime divisors (288).

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, 39957 + ... + 40179.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 2^8935164 is an apocalyptic number.

8935164 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 8935164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

8935164 is an abundant number, since it is smaller than the sum of its proper divisors (18159876).

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

8935164 is a wasteful number, since it uses less digits than its factorization.

8935164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 8935164 is about 2989.1744679761. The cubic root of 8935164 is about 207.5076805596.

It can be divided in two parts, 89 and 35164, that added together give a palindrome (35253).

The spelling of 8935164 in words is "eight million, nine hundred thirty-five thousand, one hundred sixty-four".