5820144 has 80 divisors (see below), whose sum is σ = 16737024. Its totient is φ = 1728000.

The previous prime is 5820131. The next prime is 5820149. The reversal of 5820144 is 4410285.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5820149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38469 + ... + 38619.

Almost surely, 2^5820144 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 5820144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8368512).

5820144 is an abundant number, since it is smaller than the sum of its proper divisors (10916880).

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

5820144 is a wasteful number, since it uses less digits than its factorization.

5820144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5820144 is about 2412.4974611386. The cubic root of 5820144 is about 179.8779419425.

It can be divided in two parts, 58 and 20144, that added together give a palindrome (20202).

The spelling of 5820144 in words is "five million, eight hundred twenty thousand, one hundred forty-four".