54536768 has 112 divisors (see below), whose sum is σ = 130576320. Its totient is φ = 22272000.

The previous prime is 54536753. The next prime is 54536773. The reversal of 54536768 is 86763545.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539918 + ... + 540018.

It is an arithmetic number, because the mean of its divisors is an integer number (1165860).

Almost surely, 2^54536768 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 54536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65288160).

54536768 is an abundant number, since it is smaller than the sum of its proper divisors (76039552).

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

54536768 is a wasteful number, since it uses less digits than its factorization.

54536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its digits is 604800, while the sum is 44.

The square root of 54536768 is about 7384.9013534373. The cubic root of 54536768 is about 379.2245683074.

It can be divided in two parts, 5453 and 6768, that added together give a palindrome (12221).

The spelling of 54536768 in words is "fifty-four million, five hundred thirty-six thousand, seven hundred sixty-eight".