4095564 has 96 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 1108800.

The previous prime is 4095547. The next prime is 4095577. The reversal of 4095564 is 4655904.

4095564 = 712² + 713² + ... + 719².

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 57649 + ... + 57719.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 2^4095564 is an apocalyptic number.

4095564 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 4095564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

4095564 is an abundant number, since it is smaller than the sum of its proper divisors (7516596).

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

4095564 is a wasteful number, since it uses less digits than its factorization.

4095564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 4095564 is about 2023.7499845584. The cubic root of 4095564 is about 159.9943227152.

The spelling of 4095564 in words is "four million, ninety-five thousand, five hundred sixty-four".