4161564 has 96 divisors (see below), whose sum is σ = 12257280. Its totient is φ = 1209600.

The previous prime is 4161559. The next prime is 4161581. The reversal of 4161564 is 4651614.

4161564 = 29³ + 30³ + ... + 64³.

4161564 is a `hidden beast` number, since 41 + 61 + 564 = 666.

It is a super-2 number, since 2×4161564² = 34637229852192, which contains 22 as substring.

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

Its product of digits (2880) is a multiple of the sum of its prime divisors (160).

It is a zygodrome in base 2.

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, 36772 + ... + 36884.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

Almost surely, 2^4161564 is an apocalyptic number.

4161564 is a gapful number since it is divisible by the number (44) 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 4161564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128640).

4161564 is an abundant number, since it is smaller than the sum of its proper divisors (8095716).

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

4161564 is a wasteful number, since it uses less digits than its factorization.

4161564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

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

The square root of 4161564 is about 2039.9911764515. The cubic root of 4161564 is about 160.8491829948.

The spelling of 4161564 in words is "four million, one hundred sixty-one thousand, five hundred sixty-four".