5619120 has 80 divisors (see below), whose sum is σ = 18769632. Its totient is φ = 1382400.

The previous prime is 5619109. The next prime is 5619139. The reversal of 5619120 is 219165.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) 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 (24).

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 15 ways as a sum of consecutive naturals, for example, 2220 + ... + 4020.

Almost surely, 2^5619120 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 5619120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9384816).

5619120 is an abundant number, since it is smaller than the sum of its proper divisors (13150512).

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

5619120 is a wasteful number, since it uses less digits than its factorization.

5619120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 5619120 is about 2370.4683081619. The cubic root of 5619120 is about 177.7826746336.

The spelling of 5619120 in words is "five million, six hundred nineteen thousand, one hundred twenty".