54165900 has 72 divisors (see below), whose sum is σ = 158989824. Its totient is φ = 14235200.

The previous prime is 54165899. The next prime is 54165901. The reversal of 54165900 is 956145.

It is an interprime number because it is at equal distance from previous prime (54165899) and next prime (54165901).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (54165901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20029 + ... + 22571.

It is an arithmetic number, because the mean of its divisors is an integer number (2208192).

Almost surely, 2^54165900 is an apocalyptic number.

54165900 is a gapful number since it is divisible by the number (50) 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 54165900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79494912).

54165900 is an abundant number, since it is smaller than the sum of its proper divisors (104823924).

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

54165900 is a wasteful number, since it uses less digits than its factorization.

54165900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 54165900 is about 7359.7486370120. The cubic root of 54165900 is about 378.3629949942.

The spelling of 54165900 in words is "fifty-four million, one hundred sixty-five thousand, nine hundred".