5416164 has 72 divisors (see below), whose sum is σ = 15043392. Its totient is φ = 1632960.

The previous prime is 5416157. The next prime is 5416193. The reversal of 5416164 is 4616145.

5416164 is a `hidden beast` number, since 5 + 41 + 616 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33147 + ... + 33309.

It is an arithmetic number, because the mean of its divisors is an integer number (208936).

Almost surely, 2^5416164 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 5416164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521696).

5416164 is an abundant number, since it is smaller than the sum of its proper divisors (9627228).

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

5416164 is a wasteful number, since it uses less digits than its factorization.

5416164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 252 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5416164 is about 2327.2653479997. The cubic root of 5416164 is about 175.6159411157.

The spelling of 5416164 in words is "five million, four hundred sixteen thousand, one hundred sixty-four".