5436000 has 144 divisors (see below), whose sum is σ = 19420128. Its totient is φ = 1440000.

The previous prime is 5435987. The next prime is 5436001. The reversal of 5436000 is 6345.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5436001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35925 + ... + 36075.

It is an arithmetic number, because the mean of its divisors is an integer number (134862).

Almost surely, 2^5436000 is an apocalyptic number.

5436000 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 5436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710064).

5436000 is an abundant number, since it is smaller than the sum of its proper divisors (13984128).

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

5436000 is a wasteful number, since it uses less digits than its factorization.

5436000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5436000 is about 2331.5231073271. The cubic root of 5436000 is about 175.8300701435.

The spelling of 5436000 in words is "five million, four hundred thirty-six thousand".