54638208 has 96 divisors (see below), whose sum is σ = 161029440. Its totient is φ = 17773056.

The previous prime is 54638201. The next prime is 54638209. The reversal of 54638208 is 80283645.

It is a tau number, because it is divible by the number of its divisors (96).

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 (54638201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48985 + ... + 50087.

It is an arithmetic number, because the mean of its divisors is an integer number (1677390).

Almost surely, 2^54638208 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 54638208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80514720).

54638208 is an abundant number, since it is smaller than the sum of its proper divisors (106391232).

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

54638208 is a wasteful number, since it uses less digits than its factorization.

54638208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 54638208 is about 7391.7662300698. The cubic root of 54638208 is about 379.4595456469.

The spelling of 54638208 in words is "fifty-four million, six hundred thirty-eight thousand, two hundred eight".