54098800 has 90 divisors (see below), whose sum is σ = 149616168. Its totient is φ = 18414720.

The previous prime is 54098791. The next prime is 54098831. The reversal of 54098800 is 889045.

It is a super-2 number, since 2×54098800² = 5853360322880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389131 + ... + 389269.

Almost surely, 2^54098800 is an apocalyptic number.

54098800 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 54098800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74808084).

54098800 is an abundant number, since it is smaller than the sum of its proper divisors (95517368).

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

54098800 is a wasteful number, since it uses less digits than its factorization.

54098800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 54098800 is about 7355.1886447596. The cubic root of 54098800 is about 378.2066934115.

The spelling of 54098800 in words is "fifty-four million, ninety-eight thousand, eight hundred".