4189536 has 96 divisors (see below), whose sum is σ = 13194720. Its totient is φ = 1285632.

The previous prime is 4189517. The next prime is 4189553. The reversal of 4189536 is 6359814.

4189536 is a `hidden beast` number, since 41 + 89 + 536 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (25920) is a multiple of the sum of its prime factors (405).

It is a self number, because there is not a number n which added to its sum of digits gives 4189536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11046 + ... + 11418.

It is an arithmetic number, because the mean of its divisors is an integer number (137445).

Almost surely, 2^4189536 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 4189536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597360).

4189536 is an abundant number, since it is smaller than the sum of its proper divisors (9005184).

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

4189536 is a wasteful number, since it uses less digits than its factorization.

4189536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 391 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4189536 is about 2046.8356064912. The cubic root of 4189536 is about 161.2087617639.

The spelling of 4189536 in words is "four million, one hundred eighty-nine thousand, five hundred thirty-six".