54809600 has 66 divisors (see below), whose sum is σ = 135924894. Its totient is φ = 21913600.

The previous prime is 54809597. The next prime is 54809603. The reversal of 54809600 is 690845.

It is an interprime number because it is at equal distance from previous prime (54809597) and next prime (54809603).

It can be written as a sum of positive squares in 3 ways, for example, as 14258176 + 40551424 = 3776^2 + 6368^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54809603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24530 + ... + 26670.

Almost surely, 2^54809600 is an apocalyptic number.

54809600 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 54809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67962447).

54809600 is an abundant number, since it is smaller than the sum of its proper divisors (81115294).

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

54809600 is a wasteful number, since it uses less digits than its factorization.

54809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 54809600 is about 7403.3505928059. The cubic root of 54809600 is about 379.8559010421.

The spelling of 54809600 in words is "fifty-four million, eight hundred nine thousand, six hundred".