4195104 has 48 divisors (see below), whose sum is σ = 11158560. Its totient is φ = 1379840.

The previous prime is 4195063. The next prime is 4195117. The reversal of 4195104 is 4015914.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 4³ + 1 + 9³ + 5 + 1 + 0 + 4¹¹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8299 + ... + 8789.

It is an arithmetic number, because the mean of its divisors is an integer number (232470).

Almost surely, 2^4195104 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 4195104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579280).

4195104 is an abundant number, since it is smaller than the sum of its proper divisors (6963456).

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

4195104 is a wasteful number, since it uses less digits than its factorization.

4195104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 4195104 is about 2048.1953031877. The cubic root of 4195104 is about 161.2801469985.

The spelling of 4195104 in words is "four million, one hundred ninety-five thousand, one hundred four".