4199136 has 96 divisors (see below), whose sum is σ = 12192768. Its totient is φ = 1259520.

The previous prime is 4199131. The next prime is 4199141. The reversal of 4199136 is 6319914.

It is an interprime number because it is at equal distance from previous prime (4199131) and next prime (4199141).

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

It is a junction number, because it is equal to n+sod(n) for n = 4199097 and 4199106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4199131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50551 + ... + 50633.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 2^4199136 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 4199136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

4199136 is an abundant number, since it is smaller than the sum of its proper divisors (7993632).

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

4199136 is a wasteful number, since it uses less digits than its factorization.

4199136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 4199136 is about 2049.1793479342. The cubic root of 4199136 is about 161.3318003330.

The spelling of 4199136 in words is "four million, one hundred ninety-nine thousand, one hundred thirty-six".