4633920 has 84 divisors (see below), whose sum is σ = 15948660. Its totient is φ = 1234944.

The previous prime is 4633913. The next prime is 4633931. The reversal of 4633920 is 293364.

4633920 is a `hidden beast` number, since 4 + 633 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 1218816 = 1848^2 + 1104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2076 + ... + 3684.

It is an arithmetic number, because the mean of its divisors is an integer number (189865).

Almost surely, 2^4633920 is an apocalyptic number.

4633920 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 4633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7974330).

4633920 is an abundant number, since it is smaller than the sum of its proper divisors (11314740).

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

4633920 is a wasteful number, since it uses less digits than its factorization.

4633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 4633920 is about 2152.6541756632. The cubic root of 4633920 is about 166.7181352154.

The spelling of 4633920 in words is "four million, six hundred thirty-three thousand, nine hundred twenty".