5895120 has 240 divisors, whose sum is σ = 23748480. Its totient is φ = 1182720.

The previous prime is 5895119. The next prime is 5895143. The reversal of 5895120 is 215985.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203266 + ... + 203294.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

Almost surely, 2^5895120 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 5895120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

5895120 is an abundant number, since it is smaller than the sum of its proper divisors (17853360).

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

5895120 is a wasteful number, since it uses less digits than its factorization.

5895120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 5895120 is about 2427.9868203926. The cubic root of 5895120 is about 180.6470539356.

The spelling of 5895120 in words is "five million, eight hundred ninety-five thousand, one hundred twenty".