5853120 has 224 divisors, whose sum is σ = 23213568. Its totient is φ = 1216512.

The previous prime is 5853101. The next prime is 5853131. The reversal of 5853120 is 213585.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87327 + ... + 87393.

It is an arithmetic number, because the mean of its divisors is an integer number (103632).

Almost surely, 2^5853120 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 5853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606784).

5853120 is an abundant number, since it is smaller than the sum of its proper divisors (17360448).

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

5853120 is a wasteful number, since it uses less digits than its factorization.

5853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5853120 is about 2419.3222191349. The cubic root of 5853120 is about 180.2170221864.

The spelling of 5853120 in words is "five million, eight hundred fifty-three thousand, one hundred twenty".