5837120 has 112 divisors (see below), whose sum is σ = 15636240. Its totient is φ = 2064384.

The previous prime is 5837119. The next prime is 5837131. The reversal of 5837120 is 217385.

It can be written as a sum of positive squares in 8 ways, for example, as 565504 + 5271616 = 752^2 + 2296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5837120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157742 + ... + 157778.

Almost surely, 2^5837120 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 5837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818120).

5837120 is an abundant number, since it is smaller than the sum of its proper divisors (9799120).

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

5837120 is a wasteful number, since it uses less digits than its factorization.

5837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 5837120 is about 2416.0132449968. The cubic root of 5837120 is about 180.0526594899.

The spelling of 5837120 in words is "five million, eight hundred thirty-seven thousand, one hundred twenty".