4188096 has 84 divisors (see below), whose sum is σ = 13115544. Its totient is φ = 1267200.

The previous prime is 4188089. The next prime is 4188101. The reversal of 4188096 is 6908814.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4188096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6006 + ... + 6666.

Almost surely, 2^4188096 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 4188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557772).

4188096 is an abundant number, since it is smaller than the sum of its proper divisors (8927448).

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

4188096 is a wasteful number, since it uses less digits than its factorization.

4188096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4188096 is about 2046.4838137645. The cubic root of 4188096 is about 161.1902897726.

The spelling of 4188096 in words is "four million, one hundred eighty-eight thousand, ninety-six".