4164576 has 96 divisors (see below), whose sum is σ = 12192768. Its totient is φ = 1236480.

The previous prime is 4164569. The next prime is 4164583. The reversal of 4164576 is 6754614.

It is an interprime number because it is at equal distance from previous prime (4164569) and next prime (4164583).

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (20160) is a multiple of the sum of its prime factors (144).

4164576 is a modest number, since divided by 4576 gives 416 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58621 + ... + 58691.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 2^4164576 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 4164576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

4164576 is an abundant number, since it is smaller than the sum of its proper divisors (8028192).

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

4164576 is a wasteful number, since it uses less digits than its factorization.

4164576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 4164576 is about 2040.7292814090. The cubic root of 4164576 is about 160.8879793787.

The spelling of 4164576 in words is "four million, one hundred sixty-four thousand, five hundred seventy-six".