4167936 has 108 divisors (see below), whose sum is σ = 12648272. Its totient is φ = 1368576.

The previous prime is 4167931. The next prime is 4167949. The reversal of 4167936 is 6397614.

It is a tau number, because it is divible by the number of its divisors (108).

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

Its product of digits (27216) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4167936.

It is not an unprimeable number, because it can be changed into a prime (4167931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62175 + ... + 62241.

Almost surely, 2^4167936 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 4167936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324136).

4167936 is an abundant number, since it is smaller than the sum of its proper divisors (8480336).

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

4167936 is an frugal number, since it uses more digits than its factorization.

4167936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 4167936 is about 2041.5523505411. The cubic root of 4167936 is about 160.9312361467.

The spelling of 4167936 in words is "four million, one hundred sixty-seven thousand, nine hundred thirty-six".