54633216 has 144 divisors (see below), whose sum is σ = 164828160. Its totient is φ = 15912960.

The previous prime is 54633203. The next prime is 54633251. The reversal of 54633216 is 61233645.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244881 + ... + 245103.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 2^54633216 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 54633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82414080).

54633216 is an abundant number, since it is smaller than the sum of its proper divisors (110194944).

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

54633216 is a wasteful number, since it uses less digits than its factorization.

54633216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 54633216 is about 7391.4285493401. The cubic root of 54633216 is about 379.4479889005.

The spelling of 54633216 in words is "fifty-four million, six hundred thirty-three thousand, two hundred sixteen".