4021600 has 72 divisors (see below), whose sum is σ = 10733688. Its totient is φ = 1459200.

The previous prime is 4021579. The next prime is 4021601. The reversal of 4021600 is 61204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8572 + ... + 9028.

It is an arithmetic number, because the mean of its divisors is an integer number (149079).

Almost surely, 2^4021600 is an apocalyptic number.

4021600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366844).

4021600 is an abundant number, since it is smaller than the sum of its proper divisors (6712088).

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

4021600 is a wasteful number, since it uses less digits than its factorization.

4021600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

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

The square root of 4021600 is about 2005.3927296168. The cubic root of 4021600 is about 159.0253246057.

Adding to 4021600 its reverse (61204), we get a palindrome (4082804).

It can be divided in two parts, 402 and 1600, that added together give a palindrome (2002).

The spelling of 4021600 in words is "four million, twenty-one thousand, six hundred".