5436640 has 48 divisors (see below), whose sum is σ = 14016240. Its totient is φ = 1976320.

The previous prime is 5436637. The next prime is 5436643. The reversal of 5436640 is 466345.

5436640 = 287² + 288² + ... + 341².

It is an interprime number because it is at equal distance from previous prime (5436637) and next prime (5436643).

It is a junction number, because it is equal to n+sod(n) for n = 5436599 and 5436608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5436643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216 + ... + 3304.

It is an arithmetic number, because the mean of its divisors is an integer number (292005).

Almost surely, 2^5436640 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 5436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7008120).

5436640 is an abundant number, since it is smaller than the sum of its proper divisors (8579600).

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

5436640 is a wasteful number, since it uses less digits than its factorization.

5436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 5436640 is about 2331.6603526243. The cubic root of 5436640 is about 175.8369702434.

It can be divided in two parts, 5 and 436640, that added together give a triangular number (436645 = T₉₃₄).

The spelling of 5436640 in words is "five million, four hundred thirty-six thousand, six hundred forty".