54168192 has 96 divisors (see below), whose sum is σ = 167911380. Its totient is φ = 16662528.

The previous prime is 54168187. The next prime is 54168199. The reversal of 54168192 is 29186145.

It can be written as a sum of positive squares in 2 ways, for example, as 39237696 + 14930496 = 6264^2 + 3864^2 .

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 (54168199) 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, 13168 + ... + 16784.

Almost surely, 2^54168192 is an apocalyptic number.

54168192 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83955690).

54168192 is an abundant number, since it is smaller than the sum of its proper divisors (113743188).

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

54168192 is a wasteful number, since it uses less digits than its factorization.

54168192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3635 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 54168192 is about 7359.9043472045. The cubic root of 54168192 is about 378.3683316590.

The spelling of 54168192 in words is "fifty-four million, one hundred sixty-eight thousand, one hundred ninety-two".