54685600 has 72 divisors (see below), whose sum is σ = 141389388. Its totient is φ = 20582400.

The previous prime is 54685597. The next prime is 54685613. The reversal of 54685600 is 658645.

It can be written as a sum of positive squares in 6 ways, for example, as 13571856 + 41113744 = 3684^2 + 6412^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 11590 + ... + 15610.

Almost surely, 2^54685600 is an apocalyptic number.

54685600 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 54685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70694694).

54685600 is an abundant number, since it is smaller than the sum of its proper divisors (86703788).

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

54685600 is a wasteful number, since it uses less digits than its factorization.

54685600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 54685600 is about 7394.9712643120. The cubic root of 54685600 is about 379.5692256095.

The spelling of 54685600 in words is "fifty-four million, six hundred eighty-five thousand, six hundred".