4680090 has 48 divisors (see below), whose sum is σ = 12285000. Its totient is φ = 1236096.

The previous prime is 4680079. The next prime is 4680097. The reversal of 4680090 is 900864.

It can be written as a sum of positive squares in 4 ways, for example, as 3359889 + 1320201 = 1833^2 + 1149^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4680097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13236 + ... + 13584.

Almost surely, 2^4680090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4680090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142500).

4680090 is an abundant number, since it is smaller than the sum of its proper divisors (7604910).

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

4680090 is a wasteful number, since it uses less digits than its factorization.

4680090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4680090 is about 2163.3515664357. The cubic root of 4680090 is about 167.2700043773.

The spelling of 4680090 in words is "four million, six hundred eighty thousand, ninety".