54354168 has 144 divisors (see below), whose sum is σ = 171793440. Its totient is φ = 15459840.

The previous prime is 54354161. The next prime is 54354187. The reversal of 54354168 is 86145345.

It is a happy number.

54354168 is a `hidden beast` number, since 54 + 3 + 541 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (57600) is a multiple of the sum of its prime divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54354161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147921 + ... + 148287.

It is an arithmetic number, because the mean of its divisors is an integer number (1193010).

Almost surely, 2^54354168 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 54354168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85896720).

54354168 is an abundant number, since it is smaller than the sum of its proper divisors (117439272).

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

54354168 is a wasteful number, since it uses less digits than its factorization.

54354168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 54354168 is about 7372.5279246674. The cubic root of 54354168 is about 378.8008551783.

The spelling of 54354168 in words is "fifty-four million, three hundred fifty-four thousand, one hundred sixty-eight".