54730368 has 192 divisors, whose sum is σ = 196672320. Its totient is φ = 14192640.

The previous prime is 54730339. The next prime is 54730369. The reversal of 54730368 is 86303745.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (54730369) 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, 88396 + ... + 89012.

It is an arithmetic number, because the mean of its divisors is an integer number (1024335).

Almost surely, 2^54730368 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 54730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98336160).

54730368 is an abundant number, since it is smaller than the sum of its proper divisors (141941952).

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

54730368 is a wasteful number, since it uses less digits than its factorization.

54730368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 54730368 is about 7397.9975669096. The cubic root of 54730368 is about 379.6727746258.

Adding to 54730368 its sum of digits (36), we get a square (54730404 = 7398²).

The spelling of 54730368 in words is "fifty-four million, seven hundred thirty thousand, three hundred sixty-eight".