4617090 has 72 divisors (see below), whose sum is σ = 12636468. Its totient is φ = 1169280.

The previous prime is 4617083. The next prime is 4617097. The reversal of 4617090 is 907164.

It is an interprime number because it is at equal distance from previous prime (4617083) and next prime (4617097).

It can be written as a sum of positive squares in 6 ways, for example, as 826281 + 3790809 = 909^2 + 1947^2 .

It is not an unprimeable number, because it can be changed into a prime (4617097) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75660 + ... + 75720.

Almost surely, 2^4617090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4617090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318234).

4617090 is an abundant number, since it is smaller than the sum of its proper divisors (8019378).

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

4617090 is a wasteful number, since it uses less digits than its factorization.

4617090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4617090 is about 2148.7414921298. The cubic root of 4617090 is about 166.5160550490.

The spelling of 4617090 in words is "four million, six hundred seventeen thousand, ninety".