9016164 has 48 divisors (see below), whose sum is σ = 24138240. Its totient is φ = 2907360.

The previous prime is 9016121. The next prime is 9016177. The reversal of 9016164 is 4616109.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2002 + ... + 4694.

It is an arithmetic number, because the mean of its divisors is an integer number (502880).

Almost surely, 2^9016164 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 9016164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12069120).

9016164 is an abundant number, since it is smaller than the sum of its proper divisors (15122076).

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

9016164 is a wasteful number, since it uses less digits than its factorization.

9016164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9016164 is about 3002.6927914790. The cubic root of 9016164 is about 208.1328355138.

It can be divided in two parts, 9016 and 164, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 9016164 in words is "nine million, sixteen thousand, one hundred sixty-four".