54629168 has 40 divisors (see below), whose sum is σ = 118601040. Its totient is φ = 24157440.

The previous prime is 54629153. The next prime is 54629191. The reversal of 54629168 is 86192645.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2318 + ... + 10706.

It is an arithmetic number, because the mean of its divisors is an integer number (2965026).

Almost surely, 2^54629168 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 54629168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59300520).

54629168 is an abundant number, since it is smaller than the sum of its proper divisors (63971872).

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

54629168 is a wasteful number, since it uses less digits than its factorization.

54629168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8445 (or 8439 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 54629168 is about 7391.1547135749. The cubic root of 54629168 is about 379.4386170475.

The spelling of 54629168 in words is "fifty-four million, six hundred twenty-nine thousand, one hundred sixty-eight".