36543456 has 72 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 12105216.

The previous prime is 36543431. The next prime is 36543469. The reversal of 36543456 is 65434563.

36543456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 36543456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63940 + ... + 64508.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^36543456 is an apocalyptic number.

36543456 is a gapful number since it is divisible by the number (36) 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 36543456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

36543456 is an abundant number, since it is smaller than the sum of its proper divisors (68026464).

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

36543456 is a wasteful number, since it uses less digits than its factorization.

36543456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 797 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 36543456 is about 6045.1183611241. The cubic root of 36543456 is about 331.8459632846.

The spelling of 36543456 in words is "thirty-six million, five hundred forty-three thousand, four hundred fifty-six".