54726336 has 168 divisors, whose sum is σ = 183591200. Its totient is φ = 15579648.

The previous prime is 54726323. The next prime is 54726389. The reversal of 54726336 is 63362745.

It is a tau number, because it is divible by the number of its divisors (168).

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 54726336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197430 + ... + 197706.

Almost surely, 2^54726336 is an apocalyptic number.

54726336 is a gapful number since it is divisible by the number (56) 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 54726336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91795600).

54726336 is an abundant number, since it is smaller than the sum of its proper divisors (128864864).

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

54726336 is a wasteful number, since it uses less digits than its factorization.

54726336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 289 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 54726336 is about 7397.7250557181. The cubic root of 54726336 is about 379.6634508672.

The spelling of 54726336 in words is "fifty-four million, seven hundred twenty-six thousand, three hundred thirty-six".