4206592 has 52 divisors (see below), whose sum is σ = 9173920. Its totient is φ = 1916928.

The previous prime is 4206583. The next prime is 4206593. The reversal of 4206592 is 2956024.

It is a tau number, because it is divible by the number of its divisors (52).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 4206592 = 48³ + 160³ = 124³ + 132³.

It is a self number, because there is not a number n which added to its sum of digits gives 4206592.

It is not an unprimeable number, because it can be changed into a prime (4206593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53209 + ... + 53287.

Almost surely, 2^4206592 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 4206592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586960).

4206592 is an abundant number, since it is smaller than the sum of its proper divisors (4967328).

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

4206592 is an equidigital number, since it uses as much as digits as its factorization.

4206592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 4206592 is about 2050.9978059471. The cubic root of 4206592 is about 161.4272309687.

The spelling of 4206592 in words is "four million, two hundred six thousand, five hundred ninety-two".