4689920 has 52 divisors (see below), whose sum is σ = 11303580. Its totient is φ = 1867776.

The previous prime is 4689911. The next prime is 4689947. The reversal of 4689920 is 299864.

It can be written as a sum of positive squares in 2 ways, for example, as 3211264 + 1478656 = 1792^2 + 1216^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20366 + ... + 20594.

Almost surely, 2^4689920 is an apocalyptic number.

4689920 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 4689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651790).

4689920 is an abundant number, since it is smaller than the sum of its proper divisors (6613660).

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

4689920 is an equidigital number, since it uses as much as digits as its factorization.

4689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 4689920 is about 2165.6223124081. The cubic root of 4689920 is about 167.3870330589.

The spelling of 4689920 in words is "four million, six hundred eighty-nine thousand, nine hundred twenty".