5436120 has 64 divisors (see below), whose sum is σ = 16524000. Its totient is φ = 1430528.

The previous prime is 5436113. The next prime is 5436127. The reversal of 5436120 is 216345.

It is a happy number.

5436120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5436113) and next prime (5436127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5436127) 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, 10426 + ... + 10934.

Almost surely, 2^5436120 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 5436120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8262000).

5436120 is an abundant number, since it is smaller than the sum of its proper divisors (11087880).

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

5436120 is a wasteful number, since it uses less digits than its factorization.

5436120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5436120 is about 2331.5488414357. The cubic root of 5436120 is about 175.8313639535.

The spelling of 5436120 in words is "five million, four hundred thirty-six thousand, one hundred twenty".