4196820 has 48 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 1107456.

The previous prime is 4196809. The next prime is 4196821. The reversal of 4196820 is 286914.

It is a super-2 number, since 2×4196820² = 35226596224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4196821) 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 15 ways as a sum of consecutive naturals, for example, 6471 + ... + 7089.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 2^4196820 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 4196820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

4196820 is an abundant number, since it is smaller than the sum of its proper divisors (7677420).

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

4196820 is a wasteful number, since it uses less digits than its factorization.

4196820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4196820 is about 2048.6141657228. The cubic root of 4196820 is about 161.3021344554.

The spelling of 4196820 in words is "four million, one hundred ninety-six thousand, eight hundred twenty".