54806800 has 60 divisors (see below), whose sum is σ = 132575716. Its totient is φ = 21772800.

The previous prime is 54806797. The next prime is 54806821. The reversal of 54806800 is 860845.

It can be written as a sum of positive squares in 6 ways, for example, as 9217296 + 45589504 = 3036^2 + 6752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72022 + ... + 72778.

Almost surely, 2^54806800 is an apocalyptic number.

54806800 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 54806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66287858).

54806800 is an abundant number, since it is smaller than the sum of its proper divisors (77768916).

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

54806800 is a wasteful number, since it uses less digits than its factorization.

54806800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 54806800 is about 7403.1614868244. The cubic root of 54806800 is about 379.8494324999.

The spelling of 54806800 in words is "fifty-four million, eight hundred six thousand, eight hundred".