4200160 has 24 divisors (see below), whose sum is σ = 9923256. Its totient is φ = 1680000.

The previous prime is 4200149. The next prime is 4200167. The reversal of 4200160 is 610024.

It is a self number, because there is not a number n which added to its sum of digits gives 4200160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12966 + ... + 13285.

It is an arithmetic number, because the mean of its divisors is an integer number (413469).

Almost surely, 2^4200160 is an apocalyptic number.

4200160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200160 is an abundant number, since it is smaller than the sum of its proper divisors (5723096).

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

4200160 is a wasteful number, since it uses less digits than its factorization.

4200160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26266 (or 26258 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4200160 is about 2049.4291888231. The cubic root of 4200160 is about 161.3449133747.

Adding to 4200160 its reverse (610024), we get a palindrome (4810184).

The spelling of 4200160 in words is "four million, two hundred thousand, one hundred sixty".