54608000 has 64 divisors (see below), whose sum is σ = 135808920. Its totient is φ = 21836800.

The previous prime is 54607991. The next prime is 54608077. The reversal of 54608000 is 80645.

It can be written as a sum of positive squares in 4 ways, for example, as 30558784 + 24049216 = 5528^2 + 4904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14294 + ... + 17706.

Almost surely, 2^54608000 is an apocalyptic number.

54608000 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 54608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67904460).

54608000 is an abundant number, since it is smaller than the sum of its proper divisors (81200920).

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

54608000 is an equidigital number, since it uses as much as digits as its factorization.

54608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 54608000 is about 7389.7225928989. The cubic root of 54608000 is about 379.3896017529.

Adding to 54608000 its reverse (80645), we get a palindrome (54688645).

It can be divided in two parts, 5 and 4608000, that multiplied together give a square (23040000 = 4800²).

The spelling of 54608000 in words is "fifty-four million, six hundred eight thousand".