5903120 has 40 divisors (see below), whose sum is σ = 13867416. Its totient is φ = 2336768.

The previous prime is 5903119. The next prime is 5903137. The reversal of 5903120 is 213095.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 5779216 = 352^2 + 2404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 5903092 and 5903101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8714 + ... + 9366.

Almost surely, 2^5903120 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 5903120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933708).

5903120 is an abundant number, since it is smaller than the sum of its proper divisors (7964296).

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

5903120 is a wasteful number, since it uses less digits than its factorization.

5903120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 5903120 is about 2429.6337172504. The cubic root of 5903120 is about 180.7287329739.

The spelling of 5903120 in words is "five million, nine hundred three thousand, one hundred twenty".