54841600 has 216 divisors, whose sum is σ = 159677280. Its totient is φ = 18432000.

The previous prime is 54841571. The next prime is 54841601. The reversal of 54841600 is 614845.

It is not an unprimeable number, because it can be changed into a prime (54841601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337580 + ... + 1337620.

Almost surely, 2^54841600 is an apocalyptic number.

54841600 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 54841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79838640).

54841600 is an abundant number, since it is smaller than the sum of its proper divisors (104835680).

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

54841600 is a wasteful number, since it uses less digits than its factorization.

54841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 54841600 is about 7405.5114610674. The cubic root of 54841600 is about 379.9298115980.

The spelling of 54841600 in words is "fifty-four million, eight hundred forty-one thousand, six hundred".