4600820 has 48 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1547904.

The previous prime is 4600811. The next prime is 4600847. The reversal of 4600820 is 280064.

4600820 = T₃₂₇ + T₃₂₈ + ... + T₃₉₆.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4600792 and 4600801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7982 + ... + 8538.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^4600820 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 4600820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4600820 is an abundant number, since it is smaller than the sum of its proper divisors (6648460).

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

4600820 is a wasteful number, since it uses less digits than its factorization.

4600820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4600820 is about 2144.9522139199. The cubic root of 4600820 is about 166.3202315061.

Adding to 4600820 its reverse (280064), we get a palindrome (4880884).

The spelling of 4600820 in words is "four million, six hundred thousand, eight hundred twenty".