4193820 has 72 divisors (see below), whose sum is σ = 13287456. Its totient is φ = 1068672.

The previous prime is 4193807. The next prime is 4193869. The reversal of 4193820 is 283914.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3634 + ... + 4646.

It is an arithmetic number, because the mean of its divisors is an integer number (184548).

Almost surely, 2^4193820 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 4193820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643728).

4193820 is an abundant number, since it is smaller than the sum of its proper divisors (9093636).

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

4193820 is a wasteful number, since it uses less digits than its factorization.

4193820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4193820 is about 2047.8818325284. The cubic root of 4193820 is about 161.2636909234.

The spelling of 4193820 in words is "four million, one hundred ninety-three thousand, eight hundred twenty".