54654336 has 192 divisors, whose sum is σ = 181396800. Its totient is φ = 15621120.

The previous prime is 54654331. The next prime is 54654349. The reversal of 54654336 is 63345645.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 54654336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54654331) 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 23 ways as a sum of consecutive naturals, for example, 240655 + ... + 240881.

It is an arithmetic number, because the mean of its divisors is an integer number (944775).

Almost surely, 2^54654336 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 54654336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90698400).

54654336 is an abundant number, since it is smaller than the sum of its proper divisors (126742464).

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

54654336 is a wasteful number, since it uses less digits than its factorization.

54654336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

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

The square root of 54654336 is about 7392.8570931677. The cubic root of 54654336 is about 379.4968780175.

It can be divided in two parts, 5465 and 4336, that added together give a square (9801 = 99²).

The spelling of 54654336 in words is "fifty-four million, six hundred fifty-four thousand, three hundred thirty-six".