4001620 has 48 divisors (see below), whose sum is σ = 9733248. Its totient is φ = 1353600.

The previous prime is 4001617. The next prime is 4001629. The reversal of 4001620 is 261004.

It is a super-3 number, since 3×4001620³ (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4001620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13999 + ... + 14281.

It is an arithmetic number, because the mean of its divisors is an integer number (202776).

Almost surely, 2^4001620 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 4001620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866624).

4001620 is an abundant number, since it is smaller than the sum of its proper divisors (5731628).

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

4001620 is a wasteful number, since it uses less digits than its factorization.

4001620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

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

The square root of 4001620 is about 2000.4049590021. The cubic root of 4001620 is about 158.7615322186.

Adding to 4001620 its reverse (261004), we get a palindrome (4262624).

The spelling of 4001620 in words is "four million, one thousand, six hundred twenty".