5385720 has 64 divisors (see below), whose sum is σ = 16607520. Its totient is φ = 1396224.

The previous prime is 5385691. The next prime is 5385727. The reversal of 5385720 is 275835.

It is a happy number.

5385720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385727) 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, 3834 + ... + 5046.

Almost surely, 2^5385720 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 5385720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303760).

5385720 is an abundant number, since it is smaller than the sum of its proper divisors (11221800).

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

5385720 is a wasteful number, since it uses less digits than its factorization.

5385720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 5385720 is about 2320.7154069381. The cubic root of 5385720 is about 175.2862797235.

It can be divided in two parts, 5385 and 720, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5385720 in words is "five million, three hundred eighty-five thousand, seven hundred twenty".