54098592 has 48 divisors (see below), whose sum is σ = 144027072. Its totient is φ = 17776640.

The previous prime is 54098581. The next prime is 54098617. The reversal of 54098592 is 29589045.

54098592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×54098592³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2848 + ... + 10784.

It is an arithmetic number, because the mean of its divisors is an integer number (3000564).

Almost surely, 2^54098592 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 54098592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72013536).

54098592 is an abundant number, since it is smaller than the sum of its proper divisors (89928480).

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

54098592 is a wasteful number, since it uses less digits than its factorization.

54098592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021 (or 8013 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 54098592 is about 7355.1745050678. The cubic root of 54098592 is about 378.2062086990.

The spelling of 54098592 in words is "fifty-four million, ninety-eight thousand, five hundred ninety-two".