53848000 has 112 divisors (see below), whose sum is σ = 136940544. Its totient is φ = 20966400.

The previous prime is 53847949. The next prime is 53848001. The reversal of 53848000 is 84835.

53848000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53848000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53848001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423937 + ... + 424063.

Almost surely, 2^53848000 is an apocalyptic number.

53848000 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 53848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68470272).

53848000 is an abundant number, since it is smaller than the sum of its proper divisors (83092544).

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

53848000 is a wasteful number, since it uses less digits than its factorization.

53848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

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

The square root of 53848000 is about 7338.1196501556. The cubic root of 53848000 is about 377.6213372506.

The spelling of 53848000 in words is "fifty-three million, eight hundred forty-eight thousand".