5436600 has 192 divisors, whose sum is σ = 19686240. Its totient is φ = 1228800.

The previous prime is 5436577. The next prime is 5436623. The reversal of 5436600 is 66345.

5436600 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 (5436577) and next prime (5436623).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132580 + ... + 132620.

Almost surely, 2^5436600 is an apocalyptic number.

5436600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5436600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120).

5436600 is an abundant number, since it is smaller than the sum of its proper divisors (14249640).

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

5436600 is a wasteful number, since it uses less digits than its factorization.

5436600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5436600 is about 2331.6517750299. The cubic root of 5436600 is about 175.8365390030.

The spelling of 5436600 in words is "five million, four hundred thirty-six thousand, six hundred".